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Finding the Third Proportional to 476,406,867 and 728,625,028.50

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Solution

The third proportional to 476,406,867 and 728,625,028.50 is: 1,114,371,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,406,867 : 728,625,028.50 = 728,625,028.50 : x
  2. Step 2: Convert to fraction form
    476,406,867/728,625,028.50 = 728,625,028.50/x
  3. Step 3: Cross multiply
    476,406,867x = 728,625,028.50 × 728,625,028.50
  4. Step 4: Simplify right side
    476,406,867x = 530,894,432,156,625,792
  5. Step 5: Solve for x
    x = 530,894,432,156,625,792/476,406,867
  6. Step 6: Final answer
    x = 1,114,371,913.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.