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Finding the Third Proportional to 85,416 and 135,726

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Solution

The third proportional to 85,416 and 135,726 is: 215,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416 : 135,726 = 135,726 : x
  2. Step 2: Convert to fraction form
    85,416/135,726 = 135,726/x
  3. Step 3: Cross multiply
    85,416x = 135,726 × 135,726
  4. Step 4: Simplify right side
    85,416x = 18,421,547,076
  5. Step 5: Solve for x
    x = 18,421,547,076/85,416
  6. Step 6: Final answer
    x = 215,668.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.