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Finding the Third Proportional to 84,358 and 127,089

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Solution

The third proportional to 84,358 and 127,089 is: 191,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,358 : 127,089 = 127,089 : x
  2. Step 2: Convert to fraction form
    84,358/127,089 = 127,089/x
  3. Step 3: Cross multiply
    84,358x = 127,089 × 127,089
  4. Step 4: Simplify right side
    84,358x = 16,151,613,921
  5. Step 5: Solve for x
    x = 16,151,613,921/84,358
  6. Step 6: Final answer
    x = 191,465.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.