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Finding the Third Proportional to 128,211.61 and 278,999.44

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Solution

The third proportional to 128,211.61 and 278,999.44 is: 607,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,211.61 : 278,999.44 = 278,999.44 : x
  2. Step 2: Convert to fraction form
    128,211.61/278,999.44 = 278,999.44/x
  3. Step 3: Cross multiply
    128,211.61x = 278,999.44 × 278,999.44
  4. Step 4: Simplify right side
    128,211.61x = 77,840,686,125.32
  5. Step 5: Solve for x
    x = 77,840,686,125.32/128,211.61
  6. Step 6: Final answer
    x = 607,126.66

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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.