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Finding the Third Proportional to 144,691 and 313,528

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Solution

The third proportional to 144,691 and 313,528 is: 679,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,691 : 313,528 = 313,528 : x
  2. Step 2: Convert to fraction form
    144,691/313,528 = 313,528/x
  3. Step 3: Cross multiply
    144,691x = 313,528 × 313,528
  4. Step 4: Simplify right side
    144,691x = 98,299,806,784
  5. Step 5: Solve for x
    x = 98,299,806,784/144,691
  6. Step 6: Final answer
    x = 679,377.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.