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Finding the Third Proportional to 487,946 and 738,723

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Solution

The third proportional to 487,946 and 738,723 is: 1,118,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,946 : 738,723 = 738,723 : x
  2. Step 2: Convert to fraction form
    487,946/738,723 = 738,723/x
  3. Step 3: Cross multiply
    487,946x = 738,723 × 738,723
  4. Step 4: Simplify right side
    487,946x = 545,711,670,729
  5. Step 5: Solve for x
    x = 545,711,670,729/487,946
  6. Step 6: Final answer
    x = 1,118,385.38

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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.