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Finding the Third Proportional to 78,624 and 118,368

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Solution

The third proportional to 78,624 and 118,368 is: 178,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624 : 118,368 = 118,368 : x
  2. Step 2: Convert to fraction form
    78,624/118,368 = 118,368/x
  3. Step 3: Cross multiply
    78,624x = 118,368 × 118,368
  4. Step 4: Simplify right side
    78,624x = 14,010,983,424
  5. Step 5: Solve for x
    x = 14,010,983,424/78,624
  6. Step 6: Final answer
    x = 178,202.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.