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Finding the Third Proportional to 61,098 and 94,602

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Solution

The third proportional to 61,098 and 94,602 is: 146,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,098 : 94,602 = 94,602 : x
  2. Step 2: Convert to fraction form
    61,098/94,602 = 94,602/x
  3. Step 3: Cross multiply
    61,098x = 94,602 × 94,602
  4. Step 4: Simplify right side
    61,098x = 8,949,538,404
  5. Step 5: Solve for x
    x = 8,949,538,404/61,098
  6. Step 6: Final answer
    x = 146,478.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.