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Finding the Third Proportional to 136,448 and 296,448

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Solution

The third proportional to 136,448 and 296,448 is: 644,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,448 : 296,448 = 296,448 : x
  2. Step 2: Convert to fraction form
    136,448/296,448 = 296,448/x
  3. Step 3: Cross multiply
    136,448x = 296,448 × 296,448
  4. Step 4: Simplify right side
    136,448x = 87,881,416,704
  5. Step 5: Solve for x
    x = 87,881,416,704/136,448
  6. Step 6: Final answer
    x = 644,065.26

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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.