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Finding the Third Proportional to 127,560 and 279,289

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Solution

The third proportional to 127,560 and 279,289 is: 611,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,560 : 279,289 = 279,289 : x
  2. Step 2: Convert to fraction form
    127,560/279,289 = 279,289/x
  3. Step 3: Cross multiply
    127,560x = 279,289 × 279,289
  4. Step 4: Simplify right side
    127,560x = 78,002,345,521
  5. Step 5: Solve for x
    x = 78,002,345,521/127,560
  6. Step 6: Final answer
    x = 611,495.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.