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Finding the Third Proportional to 142,387 and 313,196

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Solution

The third proportional to 142,387 and 313,196 is: 688,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,387 : 313,196 = 313,196 : x
  2. Step 2: Convert to fraction form
    142,387/313,196 = 313,196/x
  3. Step 3: Cross multiply
    142,387x = 313,196 × 313,196
  4. Step 4: Simplify right side
    142,387x = 98,091,734,416
  5. Step 5: Solve for x
    x = 98,091,734,416/142,387
  6. Step 6: Final answer
    x = 688,909.34

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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.