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Finding the Third Proportional to 97,141.50 and 129,117.38

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Solution

The third proportional to 97,141.50 and 129,117.38 is: 171,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.50 : 129,117.38 = 129,117.38 : x
  2. Step 2: Convert to fraction form
    97,141.50/129,117.38 = 129,117.38/x
  3. Step 3: Cross multiply
    97,141.50x = 129,117.38 × 129,117.38
  4. Step 4: Simplify right side
    97,141.50x = 16,671,296,526.89
  5. Step 5: Solve for x
    x = 16,671,296,526.89/97,141.50
  6. Step 6: Final answer
    x = 171,618.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.