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Finding the Third Proportional to 39,549 and 85,146

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Solution

The third proportional to 39,549 and 85,146 is: 183,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,549 : 85,146 = 85,146 : x
  2. Step 2: Convert to fraction form
    39,549/85,146 = 85,146/x
  3. Step 3: Cross multiply
    39,549x = 85,146 × 85,146
  4. Step 4: Simplify right side
    39,549x = 7,249,841,316
  5. Step 5: Solve for x
    x = 7,249,841,316/39,549
  6. Step 6: Final answer
    x = 183,312.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.