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Finding the Third Proportional to 487,394 and 727,047

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Solution

The third proportional to 487,394 and 727,047 is: 1,084,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,394 : 727,047 = 727,047 : x
  2. Step 2: Convert to fraction form
    487,394/727,047 = 727,047/x
  3. Step 3: Cross multiply
    487,394x = 727,047 × 727,047
  4. Step 4: Simplify right side
    487,394x = 528,597,340,209
  5. Step 5: Solve for x
    x = 528,597,340,209/487,394
  6. Step 6: Final answer
    x = 1,084,538.05

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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.