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Finding the Third Proportional to 309,621 and 458,691

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Solution

The third proportional to 309,621 and 458,691 is: 679,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,621 : 458,691 = 458,691 : x
  2. Step 2: Convert to fraction form
    309,621/458,691 = 458,691/x
  3. Step 3: Cross multiply
    309,621x = 458,691 × 458,691
  4. Step 4: Simplify right side
    309,621x = 210,397,433,481
  5. Step 5: Solve for x
    x = 210,397,433,481/309,621
  6. Step 6: Final answer
    x = 679,532.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.