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Finding the Third Proportional to 79,816.50 and 172,090.13

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Solution

The third proportional to 79,816.50 and 172,090.13 is: 371,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,816.50 : 172,090.13 = 172,090.13 : x
  2. Step 2: Convert to fraction form
    79,816.50/172,090.13 = 172,090.13/x
  3. Step 3: Cross multiply
    79,816.50x = 172,090.13 × 172,090.13
  4. Step 4: Simplify right side
    79,816.50x = 29,615,011,122.52
  5. Step 5: Solve for x
    x = 29,615,011,122.52/79,816.50
  6. Step 6: Final answer
    x = 371,038.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.