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Finding the Third Proportional to 129,174 and 174,465

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Solution

The third proportional to 129,174 and 174,465 is: 235,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,174 : 174,465 = 174,465 : x
  2. Step 2: Convert to fraction form
    129,174/174,465 = 174,465/x
  3. Step 3: Cross multiply
    129,174x = 174,465 × 174,465
  4. Step 4: Simplify right side
    129,174x = 30,438,036,225
  5. Step 5: Solve for x
    x = 30,438,036,225/129,174
  6. Step 6: Final answer
    x = 235,635.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.