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Finding the Third Proportional to 80,038.13 and 128,926.69

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Solution

The third proportional to 80,038.13 and 128,926.69 is: 207,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,038.13 : 128,926.69 = 128,926.69 : x
  2. Step 2: Convert to fraction form
    80,038.13/128,926.69 = 128,926.69/x
  3. Step 3: Cross multiply
    80,038.13x = 128,926.69 × 128,926.69
  4. Step 4: Simplify right side
    80,038.13x = 16,622,090,749.72
  5. Step 5: Solve for x
    x = 16,622,090,749.72/80,038.13
  6. Step 6: Final answer
    x = 207,677.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.