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Finding the Third Proportional to 136,334 and 291,620

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Solution

The third proportional to 136,334 and 291,620 is: 623,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,334 : 291,620 = 291,620 : x
  2. Step 2: Convert to fraction form
    136,334/291,620 = 291,620/x
  3. Step 3: Cross multiply
    136,334x = 291,620 × 291,620
  4. Step 4: Simplify right side
    136,334x = 85,042,224,400
  5. Step 5: Solve for x
    x = 85,042,224,400/136,334
  6. Step 6: Final answer
    x = 623,778.55

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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.