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Finding the Third Proportional to 127,543.50 and 278,057

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Solution

The third proportional to 127,543.50 and 278,057 is: 606,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,543.50 : 278,057 = 278,057 : x
  2. Step 2: Convert to fraction form
    127,543.50/278,057 = 278,057/x
  3. Step 3: Cross multiply
    127,543.50x = 278,057 × 278,057
  4. Step 4: Simplify right side
    127,543.50x = 77,315,695,249
  5. Step 5: Solve for x
    x = 77,315,695,249/127,543.50
  6. Step 6: Final answer
    x = 606,190.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.