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Finding the Third Proportional to 77,731.88 and 171,798.75

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Solution

The third proportional to 77,731.88 and 171,798.75 is: 379,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,731.88 : 171,798.75 = 171,798.75 : x
  2. Step 2: Convert to fraction form
    77,731.88/171,798.75 = 171,798.75/x
  3. Step 3: Cross multiply
    77,731.88x = 171,798.75 × 171,798.75
  4. Step 4: Simplify right side
    77,731.88x = 29,514,810,501.56
  5. Step 5: Solve for x
    x = 29,514,810,501.56/77,731.88
  6. Step 6: Final answer
    x = 379,700.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.