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Finding the Third Proportional to 78,031.50 and 170,931

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Solution

The third proportional to 78,031.50 and 170,931 is: 374,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.50 : 170,931 = 170,931 : x
  2. Step 2: Convert to fraction form
    78,031.50/170,931 = 170,931/x
  3. Step 3: Cross multiply
    78,031.50x = 170,931 × 170,931
  4. Step 4: Simplify right side
    78,031.50x = 29,217,406,761
  5. Step 5: Solve for x
    x = 29,217,406,761/78,031.50
  6. Step 6: Final answer
    x = 374,430.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.