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Finding the Third Proportional to 136,228 and 291,080

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Solution

The third proportional to 136,228 and 291,080 is: 621,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,228 : 291,080 = 291,080 : x
  2. Step 2: Convert to fraction form
    136,228/291,080 = 291,080/x
  3. Step 3: Cross multiply
    136,228x = 291,080 × 291,080
  4. Step 4: Simplify right side
    136,228x = 84,727,566,400
  5. Step 5: Solve for x
    x = 84,727,566,400/136,228
  6. Step 6: Final answer
    x = 621,954.12

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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.