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Finding the Third Proportional to 149,436 and 312,720

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Solution

The third proportional to 149,436 and 312,720 is: 654,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,436 : 312,720 = 312,720 : x
  2. Step 2: Convert to fraction form
    149,436/312,720 = 312,720/x
  3. Step 3: Cross multiply
    149,436x = 312,720 × 312,720
  4. Step 4: Simplify right side
    149,436x = 97,793,798,400
  5. Step 5: Solve for x
    x = 97,793,798,400/149,436
  6. Step 6: Final answer
    x = 654,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.