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Finding the Third Proportional to 462,918 and 721,441

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Solution

The third proportional to 462,918 and 721,441 is: 1,124,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,918 : 721,441 = 721,441 : x
  2. Step 2: Convert to fraction form
    462,918/721,441 = 721,441/x
  3. Step 3: Cross multiply
    462,918x = 721,441 × 721,441
  4. Step 4: Simplify right side
    462,918x = 520,477,116,481
  5. Step 5: Solve for x
    x = 520,477,116,481/462,918
  6. Step 6: Final answer
    x = 1,124,339.77

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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.