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Finding the Third Proportional to 78,102 and 174,348

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Solution

The third proportional to 78,102 and 174,348 is: 389,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102 : 174,348 = 174,348 : x
  2. Step 2: Convert to fraction form
    78,102/174,348 = 174,348/x
  3. Step 3: Cross multiply
    78,102x = 174,348 × 174,348
  4. Step 4: Simplify right side
    78,102x = 30,397,225,104
  5. Step 5: Solve for x
    x = 30,397,225,104/78,102
  6. Step 6: Final answer
    x = 389,199.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.