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Finding the Third Proportional to 487,400 and 727,043

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Solution

The third proportional to 487,400 and 727,043 is: 1,084,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,400 : 727,043 = 727,043 : x
  2. Step 2: Convert to fraction form
    487,400/727,043 = 727,043/x
  3. Step 3: Cross multiply
    487,400x = 727,043 × 727,043
  4. Step 4: Simplify right side
    487,400x = 528,591,523,849
  5. Step 5: Solve for x
    x = 528,591,523,849/487,400
  6. Step 6: Final answer
    x = 1,084,512.77

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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.