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Finding the Third Proportional to 487,394 and 727,034

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Solution

The third proportional to 487,394 and 727,034 is: 1,084,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,394 : 727,034 = 727,034 : x
  2. Step 2: Convert to fraction form
    487,394/727,034 = 727,034/x
  3. Step 3: Cross multiply
    487,394x = 727,034 × 727,034
  4. Step 4: Simplify right side
    487,394x = 528,578,437,156
  5. Step 5: Solve for x
    x = 528,578,437,156/487,394
  6. Step 6: Final answer
    x = 1,084,499.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.