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Finding the Third Proportional to 129,820 and 269,522

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Solution

The third proportional to 129,820 and 269,522 is: 559,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,820 : 269,522 = 269,522 : x
  2. Step 2: Convert to fraction form
    129,820/269,522 = 269,522/x
  3. Step 3: Cross multiply
    129,820x = 269,522 × 269,522
  4. Step 4: Simplify right side
    129,820x = 72,642,108,484
  5. Step 5: Solve for x
    x = 72,642,108,484/129,820
  6. Step 6: Final answer
    x = 559,560.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.