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Finding the Third Proportional to 77,281.83 and 168,172.61

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Solution

The third proportional to 77,281.83 and 168,172.61 is: 365,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.83 : 168,172.61 = 168,172.61 : x
  2. Step 2: Convert to fraction form
    77,281.83/168,172.61 = 168,172.61/x
  3. Step 3: Cross multiply
    77,281.83x = 168,172.61 × 168,172.61
  4. Step 4: Simplify right side
    77,281.83x = 28,282,027,200.92
  5. Step 5: Solve for x
    x = 28,282,027,200.92/77,281.83
  6. Step 6: Final answer
    x = 365,959.59

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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.