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Finding the Third Proportional to 127,290 and 269,343

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Solution

The third proportional to 127,290 and 269,343 is: 569,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,290 : 269,343 = 269,343 : x
  2. Step 2: Convert to fraction form
    127,290/269,343 = 269,343/x
  3. Step 3: Cross multiply
    127,290x = 269,343 × 269,343
  4. Step 4: Simplify right side
    127,290x = 72,545,651,649
  5. Step 5: Solve for x
    x = 72,545,651,649/127,290
  6. Step 6: Final answer
    x = 569,924.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.