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Finding the Third Proportional to 127,605 and 279,633

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Solution

The third proportional to 127,605 and 279,633 is: 612,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,605 : 279,633 = 279,633 : x
  2. Step 2: Convert to fraction form
    127,605/279,633 = 279,633/x
  3. Step 3: Cross multiply
    127,605x = 279,633 × 279,633
  4. Step 4: Simplify right side
    127,605x = 78,194,614,689
  5. Step 5: Solve for x
    x = 78,194,614,689/127,605
  6. Step 6: Final answer
    x = 612,786.45

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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.