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Finding the Third Proportional to 172,045.69 and 261,862.03

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Solution

The third proportional to 172,045.69 and 261,862.03 is: 398,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,045.69 : 261,862.03 = 261,862.03 : x
  2. Step 2: Convert to fraction form
    172,045.69/261,862.03 = 261,862.03/x
  3. Step 3: Cross multiply
    172,045.69x = 261,862.03 × 261,862.03
  4. Step 4: Simplify right side
    172,045.69x = 68,571,723,410.38
  5. Step 5: Solve for x
    x = 68,571,723,410.38/172,045.69
  6. Step 6: Final answer
    x = 398,566.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.