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Finding the Third Proportional to 145,317 and 313,566

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Solution

The third proportional to 145,317 and 313,566 is: 676,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,317 : 313,566 = 313,566 : x
  2. Step 2: Convert to fraction form
    145,317/313,566 = 313,566/x
  3. Step 3: Cross multiply
    145,317x = 313,566 × 313,566
  4. Step 4: Simplify right side
    145,317x = 98,323,636,356
  5. Step 5: Solve for x
    x = 98,323,636,356/145,317
  6. Step 6: Final answer
    x = 676,614.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.