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Finding the Third Proportional to 136,248 and 291,448

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Solution

The third proportional to 136,248 and 291,448 is: 623,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,248 : 291,448 = 291,448 : x
  2. Step 2: Convert to fraction form
    136,248/291,448 = 291,448/x
  3. Step 3: Cross multiply
    136,248x = 291,448 × 291,448
  4. Step 4: Simplify right side
    136,248x = 84,941,936,704
  5. Step 5: Solve for x
    x = 84,941,936,704/136,248
  6. Step 6: Final answer
    x = 623,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.