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Finding the Third Proportional to 52,985,460 and 77,734,400

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Solution

The third proportional to 52,985,460 and 77,734,400 is: 114,043,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,985,460 : 77,734,400 = 77,734,400 : x
  2. Step 2: Convert to fraction form
    52,985,460/77,734,400 = 77,734,400/x
  3. Step 3: Cross multiply
    52,985,460x = 77,734,400 × 77,734,400
  4. Step 4: Simplify right side
    52,985,460x = 6,042,636,943,360,000
  5. Step 5: Solve for x
    x = 6,042,636,943,360,000/52,985,460
  6. Step 6: Final answer
    x = 114,043,304.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.