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Finding the Third Proportional to 145,946 and 316,675

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Solution

The third proportional to 145,946 and 316,675 is: 687,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,946 : 316,675 = 316,675 : x
  2. Step 2: Convert to fraction form
    145,946/316,675 = 316,675/x
  3. Step 3: Cross multiply
    145,946x = 316,675 × 316,675
  4. Step 4: Simplify right side
    145,946x = 100,283,055,625
  5. Step 5: Solve for x
    x = 100,283,055,625/145,946
  6. Step 6: Final answer
    x = 687,124.39

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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.