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Finding the Third Proportional to 44,200.50 and 90,952.50

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Solution

The third proportional to 44,200.50 and 90,952.50 is: 187,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,200.50 : 90,952.50 = 90,952.50 : x
  2. Step 2: Convert to fraction form
    44,200.50/90,952.50 = 90,952.50/x
  3. Step 3: Cross multiply
    44,200.50x = 90,952.50 × 90,952.50
  4. Step 4: Simplify right side
    44,200.50x = 8,272,357,256.25
  5. Step 5: Solve for x
    x = 8,272,357,256.25/44,200.50
  6. Step 6: Final answer
    x = 187,155.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.