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Finding the Third Proportional to 45,432 and 93,132

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Solution

The third proportional to 45,432 and 93,132 is: 190,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,432 : 93,132 = 93,132 : x
  2. Step 2: Convert to fraction form
    45,432/93,132 = 93,132/x
  3. Step 3: Cross multiply
    45,432x = 93,132 × 93,132
  4. Step 4: Simplify right side
    45,432x = 8,673,569,424
  5. Step 5: Solve for x
    x = 8,673,569,424/45,432
  6. Step 6: Final answer
    x = 190,913.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.