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Finding the Third Proportional to 136,442 and 296,736

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Solution

The third proportional to 136,442 and 296,736 is: 645,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,442 : 296,736 = 296,736 : x
  2. Step 2: Convert to fraction form
    136,442/296,736 = 296,736/x
  3. Step 3: Cross multiply
    136,442x = 296,736 × 296,736
  4. Step 4: Simplify right side
    136,442x = 88,052,253,696
  5. Step 5: Solve for x
    x = 88,052,253,696/136,442
  6. Step 6: Final answer
    x = 645,345.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.