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Finding the Third Proportional to 145,377 and 313,668

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Solution

The third proportional to 145,377 and 313,668 is: 676,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,377 : 313,668 = 313,668 : x
  2. Step 2: Convert to fraction form
    145,377/313,668 = 313,668/x
  3. Step 3: Cross multiply
    145,377x = 313,668 × 313,668
  4. Step 4: Simplify right side
    145,377x = 98,387,614,224
  5. Step 5: Solve for x
    x = 98,387,614,224/145,377
  6. Step 6: Final answer
    x = 676,775.65

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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.