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Finding the Third Proportional to 136,578 and 295,620

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Solution

The third proportional to 136,578 and 295,620 is: 639,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,578 : 295,620 = 295,620 : x
  2. Step 2: Convert to fraction form
    136,578/295,620 = 295,620/x
  3. Step 3: Cross multiply
    136,578x = 295,620 × 295,620
  4. Step 4: Simplify right side
    136,578x = 87,391,184,400
  5. Step 5: Solve for x
    x = 87,391,184,400/136,578
  6. Step 6: Final answer
    x = 639,862.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.