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Finding the Third Proportional to 75,649.50 and 99,405

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Solution

The third proportional to 75,649.50 and 99,405 is: 130,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.50 : 99,405 = 99,405 : x
  2. Step 2: Convert to fraction form
    75,649.50/99,405 = 99,405/x
  3. Step 3: Cross multiply
    75,649.50x = 99,405 × 99,405
  4. Step 4: Simplify right side
    75,649.50x = 9,881,354,025
  5. Step 5: Solve for x
    x = 9,881,354,025/75,649.50
  6. Step 6: Final answer
    x = 130,620.22

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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.