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Finding the Third Proportional to 462,899 and 721,415

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Solution

The third proportional to 462,899 and 721,415 is: 1,124,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,899 : 721,415 = 721,415 : x
  2. Step 2: Convert to fraction form
    462,899/721,415 = 721,415/x
  3. Step 3: Cross multiply
    462,899x = 721,415 × 721,415
  4. Step 4: Simplify right side
    462,899x = 520,439,602,225
  5. Step 5: Solve for x
    x = 520,439,602,225/462,899
  6. Step 6: Final answer
    x = 1,124,304.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.