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Finding the Third Proportional to 78,541 and 105,351

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Solution

The third proportional to 78,541 and 105,351 is: 141,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,541 : 105,351 = 105,351 : x
  2. Step 2: Convert to fraction form
    78,541/105,351 = 105,351/x
  3. Step 3: Cross multiply
    78,541x = 105,351 × 105,351
  4. Step 4: Simplify right side
    78,541x = 11,098,833,201
  5. Step 5: Solve for x
    x = 11,098,833,201/78,541
  6. Step 6: Final answer
    x = 141,312.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.