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Finding the Third Proportional to 78,347 and 117,228

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Solution

The third proportional to 78,347 and 117,228 is: 175,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,347 : 117,228 = 117,228 : x
  2. Step 2: Convert to fraction form
    78,347/117,228 = 117,228/x
  3. Step 3: Cross multiply
    78,347x = 117,228 × 117,228
  4. Step 4: Simplify right side
    78,347x = 13,742,403,984
  5. Step 5: Solve for x
    x = 13,742,403,984/78,347
  6. Step 6: Final answer
    x = 175,404.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.