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Finding the Third Proportional to 2,156,401,840 and 3,153,732,168

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Solution

The third proportional to 2,156,401,840 and 3,153,732,168 is: 4,612,325,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,401,840 : 3,153,732,168 = 3,153,732,168 : x
  2. Step 2: Convert to fraction form
    2,156,401,840/3,153,732,168 = 3,153,732,168/x
  3. Step 3: Cross multiply
    2,156,401,840x = 3,153,732,168 × 3,153,732,168
  4. Step 4: Simplify right side
    2,156,401,840x = 9,946,026,587,477,981,184
  5. Step 5: Solve for x
    x = 9,946,026,587,477,981,184/2,156,401,840
  6. Step 6: Final answer
    x = 4,612,325,218.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.