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Finding the Third Proportional to 149,342 and 312,514

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Solution

The third proportional to 149,342 and 312,514 is: 653,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,342 : 312,514 = 312,514 : x
  2. Step 2: Convert to fraction form
    149,342/312,514 = 312,514/x
  3. Step 3: Cross multiply
    149,342x = 312,514 × 312,514
  4. Step 4: Simplify right side
    149,342x = 97,665,000,196
  5. Step 5: Solve for x
    x = 97,665,000,196/149,342
  6. Step 6: Final answer
    x = 653,968.74

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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.