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Finding the Third Proportional to 448,234,312,026 and 967,892,692,277

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Solution

The third proportional to 448,234,312,026 and 967,892,692,277 is: 2,090,014,616,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,234,312,026 : 967,892,692,277 = 967,892,692,277 : x
  2. Step 2: Convert to fraction form
    448,234,312,026/967,892,692,277 = 967,892,692,277/x
  3. Step 3: Cross multiply
    448,234,312,026x = 967,892,692,277 × 967,892,692,277
  4. Step 4: Simplify right side
    448,234,312,026x = 936,816,263,763,219,452,002,304
  5. Step 5: Solve for x
    x = 936,816,263,763,219,452,002,304/448,234,312,026
  6. Step 6: Final answer
    x = 2,090,014,616,526.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.