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Finding the Third Proportional to 498,963 and 781,672

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Solution

The third proportional to 498,963 and 781,672 is: 1,224,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,963 : 781,672 = 781,672 : x
  2. Step 2: Convert to fraction form
    498,963/781,672 = 781,672/x
  3. Step 3: Cross multiply
    498,963x = 781,672 × 781,672
  4. Step 4: Simplify right side
    498,963x = 611,011,115,584
  5. Step 5: Solve for x
    x = 611,011,115,584/498,963
  6. Step 6: Final answer
    x = 1,224,561.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.