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Finding the Third Proportional to 487,329 and 764,649

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Solution

The third proportional to 487,329 and 764,649 is: 1,199,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,329 : 764,649 = 764,649 : x
  2. Step 2: Convert to fraction form
    487,329/764,649 = 764,649/x
  3. Step 3: Cross multiply
    487,329x = 764,649 × 764,649
  4. Step 4: Simplify right side
    487,329x = 584,688,093,201
  5. Step 5: Solve for x
    x = 584,688,093,201/487,329
  6. Step 6: Final answer
    x = 1,199,781.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.