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Finding the Third Proportional to 85,400 and 136,428

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Solution

The third proportional to 85,400 and 136,428 is: 217,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,400 : 136,428 = 136,428 : x
  2. Step 2: Convert to fraction form
    85,400/136,428 = 136,428/x
  3. Step 3: Cross multiply
    85,400x = 136,428 × 136,428
  4. Step 4: Simplify right side
    85,400x = 18,612,599,184
  5. Step 5: Solve for x
    x = 18,612,599,184/85,400
  6. Step 6: Final answer
    x = 217,946.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.