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Finding the Third Proportional to 161,624 and 345,712

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Solution

The third proportional to 161,624 and 345,712 is: 739,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,624 : 345,712 = 345,712 : x
  2. Step 2: Convert to fraction form
    161,624/345,712 = 345,712/x
  3. Step 3: Cross multiply
    161,624x = 345,712 × 345,712
  4. Step 4: Simplify right side
    161,624x = 119,516,786,944
  5. Step 5: Solve for x
    x = 119,516,786,944/161,624
  6. Step 6: Final answer
    x = 739,474.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.