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Finding the Third Proportional to 462,904 and 721,421

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Solution

The third proportional to 462,904 and 721,421 is: 1,124,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,904 : 721,421 = 721,421 : x
  2. Step 2: Convert to fraction form
    462,904/721,421 = 721,421/x
  3. Step 3: Cross multiply
    462,904x = 721,421 × 721,421
  4. Step 4: Simplify right side
    462,904x = 520,448,259,241
  5. Step 5: Solve for x
    x = 520,448,259,241/462,904
  6. Step 6: Final answer
    x = 1,124,311.43

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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.