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Finding the Third Proportional to 78,100 and 168,347

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Solution

The third proportional to 78,100 and 168,347 is: 362,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100 : 168,347 = 168,347 : x
  2. Step 2: Convert to fraction form
    78,100/168,347 = 168,347/x
  3. Step 3: Cross multiply
    78,100x = 168,347 × 168,347
  4. Step 4: Simplify right side
    78,100x = 28,340,712,409
  5. Step 5: Solve for x
    x = 28,340,712,409/78,100
  6. Step 6: Final answer
    x = 362,877.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.