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Finding the Third Proportional to 136,382 and 291,716

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Solution

The third proportional to 136,382 and 291,716 is: 623,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,382 : 291,716 = 291,716 : x
  2. Step 2: Convert to fraction form
    136,382/291,716 = 291,716/x
  3. Step 3: Cross multiply
    136,382x = 291,716 × 291,716
  4. Step 4: Simplify right side
    136,382x = 85,098,224,656
  5. Step 5: Solve for x
    x = 85,098,224,656/136,382
  6. Step 6: Final answer
    x = 623,969.62

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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.