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Finding the Third Proportional to 487,120 and 764,344

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Solution

The third proportional to 487,120 and 764,344 is: 1,199,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,120 : 764,344 = 764,344 : x
  2. Step 2: Convert to fraction form
    487,120/764,344 = 764,344/x
  3. Step 3: Cross multiply
    487,120x = 764,344 × 764,344
  4. Step 4: Simplify right side
    487,120x = 584,221,750,336
  5. Step 5: Solve for x
    x = 584,221,750,336/487,120
  6. Step 6: Final answer
    x = 1,199,338.46

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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.