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Finding the Third Proportional to 76,750.88 and 118,406.81

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Solution

The third proportional to 76,750.88 and 118,406.81 is: 182,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.88 : 118,406.81 = 118,406.81 : x
  2. Step 2: Convert to fraction form
    76,750.88/118,406.81 = 118,406.81/x
  3. Step 3: Cross multiply
    76,750.88x = 118,406.81 × 118,406.81
  4. Step 4: Simplify right side
    76,750.88x = 14,020,173,246.41
  5. Step 5: Solve for x
    x = 14,020,173,246.41/76,750.88
  6. Step 6: Final answer
    x = 182,671.18

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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.