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Finding the Third Proportional to 158,496 and 345,424

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Solution

The third proportional to 158,496 and 345,424 is: 752,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,496 : 345,424 = 345,424 : x
  2. Step 2: Convert to fraction form
    158,496/345,424 = 345,424/x
  3. Step 3: Cross multiply
    158,496x = 345,424 × 345,424
  4. Step 4: Simplify right side
    158,496x = 119,317,739,776
  5. Step 5: Solve for x
    x = 119,317,739,776/158,496
  6. Step 6: Final answer
    x = 752,812.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.