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Finding the Third Proportional to 85,888.50 and 128,437.88

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Solution

The third proportional to 85,888.50 and 128,437.88 is: 192,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,888.50 : 128,437.88 = 128,437.88 : x
  2. Step 2: Convert to fraction form
    85,888.50/128,437.88 = 128,437.88/x
  3. Step 3: Cross multiply
    85,888.50x = 128,437.88 × 128,437.88
  4. Step 4: Simplify right side
    85,888.50x = 16,496,287,734.52
  5. Step 5: Solve for x
    x = 16,496,287,734.52/85,888.50
  6. Step 6: Final answer
    x = 192,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.