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Finding the Third Proportional to 142,930 and 313,508

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Solution

The third proportional to 142,930 and 313,508 is: 687,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930 : 313,508 = 313,508 : x
  2. Step 2: Convert to fraction form
    142,930/313,508 = 313,508/x
  3. Step 3: Cross multiply
    142,930x = 313,508 × 313,508
  4. Step 4: Simplify right side
    142,930x = 98,287,266,064
  5. Step 5: Solve for x
    x = 98,287,266,064/142,930
  6. Step 6: Final answer
    x = 687,660.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.