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Finding the Third Proportional to 90,438 and 196,444.50

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Solution

The third proportional to 90,438 and 196,444.50 is: 426,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,438 : 196,444.50 = 196,444.50 : x
  2. Step 2: Convert to fraction form
    90,438/196,444.50 = 196,444.50/x
  3. Step 3: Cross multiply
    90,438x = 196,444.50 × 196,444.50
  4. Step 4: Simplify right side
    90,438x = 38,590,441,580.25
  5. Step 5: Solve for x
    x = 38,590,441,580.25/90,438
  6. Step 6: Final answer
    x = 426,706.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.