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Finding the Third Proportional to 99,235.13 and 129,784.78

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Solution

The third proportional to 99,235.13 and 129,784.78 is: 169,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.13 : 129,784.78 = 129,784.78 : x
  2. Step 2: Convert to fraction form
    99,235.13/129,784.78 = 129,784.78/x
  3. Step 3: Cross multiply
    99,235.13x = 129,784.78 × 129,784.78
  4. Step 4: Simplify right side
    99,235.13x = 16,844,089,444.11
  5. Step 5: Solve for x
    x = 16,844,089,444.11/99,235.13
  6. Step 6: Final answer
    x = 169,739.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.