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Finding the Third Proportional to 145,406 and 313,725

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Solution

The third proportional to 145,406 and 313,725 is: 676,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406 : 313,725 = 313,725 : x
  2. Step 2: Convert to fraction form
    145,406/313,725 = 313,725/x
  3. Step 3: Cross multiply
    145,406x = 313,725 × 313,725
  4. Step 4: Simplify right side
    145,406x = 98,423,375,625
  5. Step 5: Solve for x
    x = 98,423,375,625/145,406
  6. Step 6: Final answer
    x = 676,886.62

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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.