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Finding the Third Proportional to 77,785.88 and 169,649.63

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Solution

The third proportional to 77,785.88 and 169,649.63 is: 370,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785.88 : 169,649.63 = 169,649.63 : x
  2. Step 2: Convert to fraction form
    77,785.88/169,649.63 = 169,649.63/x
  3. Step 3: Cross multiply
    77,785.88x = 169,649.63 × 169,649.63
  4. Step 4: Simplify right side
    77,785.88x = 28,780,995,262.64
  5. Step 5: Solve for x
    x = 28,780,995,262.64/77,785.88
  6. Step 6: Final answer
    x = 370,002.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.