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Finding the Third Proportional to 85,955 and 131,402

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Solution

The third proportional to 85,955 and 131,402 is: 200,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,955 : 131,402 = 131,402 : x
  2. Step 2: Convert to fraction form
    85,955/131,402 = 131,402/x
  3. Step 3: Cross multiply
    85,955x = 131,402 × 131,402
  4. Step 4: Simplify right side
    85,955x = 17,266,485,604
  5. Step 5: Solve for x
    x = 17,266,485,604/85,955
  6. Step 6: Final answer
    x = 200,878.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.