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Finding the Third Proportional to 462,912 and 721,432

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Solution

The third proportional to 462,912 and 721,432 is: 1,124,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,912 : 721,432 = 721,432 : x
  2. Step 2: Convert to fraction form
    462,912/721,432 = 721,432/x
  3. Step 3: Cross multiply
    462,912x = 721,432 × 721,432
  4. Step 4: Simplify right side
    462,912x = 520,464,130,624
  5. Step 5: Solve for x
    x = 520,464,130,624/462,912
  6. Step 6: Final answer
    x = 1,124,326.29

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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.