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Finding the Third Proportional to 142,496 and 313,432

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Solution

The third proportional to 142,496 and 313,432 is: 689,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,496 : 313,432 = 313,432 : x
  2. Step 2: Convert to fraction form
    142,496/313,432 = 313,432/x
  3. Step 3: Cross multiply
    142,496x = 313,432 × 313,432
  4. Step 4: Simplify right side
    142,496x = 98,239,618,624
  5. Step 5: Solve for x
    x = 98,239,618,624/142,496
  6. Step 6: Final answer
    x = 689,420.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.