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Finding the Third Proportional to 127,422 and 178,221

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Solution

The third proportional to 127,422 and 178,221 is: 249,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,422 : 178,221 = 178,221 : x
  2. Step 2: Convert to fraction form
    127,422/178,221 = 178,221/x
  3. Step 3: Cross multiply
    127,422x = 178,221 × 178,221
  4. Step 4: Simplify right side
    127,422x = 31,762,724,841
  5. Step 5: Solve for x
    x = 31,762,724,841/127,422
  6. Step 6: Final answer
    x = 249,271.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.