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Finding the Third Proportional to 487,950 and 738,729

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Solution

The third proportional to 487,950 and 738,729 is: 1,118,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,950 : 738,729 = 738,729 : x
  2. Step 2: Convert to fraction form
    487,950/738,729 = 738,729/x
  3. Step 3: Cross multiply
    487,950x = 738,729 × 738,729
  4. Step 4: Simplify right side
    487,950x = 545,720,535,441
  5. Step 5: Solve for x
    x = 545,720,535,441/487,950
  6. Step 6: Final answer
    x = 1,118,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.