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Finding the Third Proportional to 458,721 and 493,713

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Solution

The third proportional to 458,721 and 493,713 is: 531,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,721 : 493,713 = 493,713 : x
  2. Step 2: Convert to fraction form
    458,721/493,713 = 493,713/x
  3. Step 3: Cross multiply
    458,721x = 493,713 × 493,713
  4. Step 4: Simplify right side
    458,721x = 243,752,526,369
  5. Step 5: Solve for x
    x = 243,752,526,369/458,721
  6. Step 6: Final answer
    x = 531,374.25

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.