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Finding the Third Proportional to 76,098.19 and 118,290.94

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Solution

The third proportional to 76,098.19 and 118,290.94 is: 183,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098.19 : 118,290.94 = 118,290.94 : x
  2. Step 2: Convert to fraction form
    76,098.19/118,290.94 = 118,290.94/x
  3. Step 3: Cross multiply
    76,098.19x = 118,290.94 × 118,290.94
  4. Step 4: Simplify right side
    76,098.19x = 13,992,745,894.63
  5. Step 5: Solve for x
    x = 13,992,745,894.63/76,098.19
  6. Step 6: Final answer
    x = 183,877.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.