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Finding the Third Proportional to 77,802.75 and 120,159.38

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Solution

The third proportional to 77,802.75 and 120,159.38 is: 185,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.75 : 120,159.38 = 120,159.38 : x
  2. Step 2: Convert to fraction form
    77,802.75/120,159.38 = 120,159.38/x
  3. Step 3: Cross multiply
    77,802.75x = 120,159.38 × 120,159.38
  4. Step 4: Simplify right side
    77,802.75x = 14,438,275,400.39
  5. Step 5: Solve for x
    x = 14,438,275,400.39/77,802.75
  6. Step 6: Final answer
    x = 185,575.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.