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Finding the Third Proportional to 127,573.31 and 278,459.44

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Solution

The third proportional to 127,573.31 and 278,459.44 is: 607,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,573.31 : 278,459.44 = 278,459.44 : x
  2. Step 2: Convert to fraction form
    127,573.31/278,459.44 = 278,459.44/x
  3. Step 3: Cross multiply
    127,573.31x = 278,459.44 × 278,459.44
  4. Step 4: Simplify right side
    127,573.31x = 77,539,658,332.82
  5. Step 5: Solve for x
    x = 77,539,658,332.82/127,573.31
  6. Step 6: Final answer
    x = 607,804.70

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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.