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Finding the Third Proportional to 90,432.56 and 198,356.06

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Solution

The third proportional to 90,432.56 and 198,356.06 is: 435,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432.56 : 198,356.06 = 198,356.06 : x
  2. Step 2: Convert to fraction form
    90,432.56/198,356.06 = 198,356.06/x
  3. Step 3: Cross multiply
    90,432.56x = 198,356.06 × 198,356.06
  4. Step 4: Simplify right side
    90,432.56x = 39,345,127,530.50
  5. Step 5: Solve for x
    x = 39,345,127,530.50/90,432.56
  6. Step 6: Final answer
    x = 435,076.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.