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Finding the Third Proportional to 78,424 and 118,371

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Solution

The third proportional to 78,424 and 118,371 is: 178,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424 : 118,371 = 118,371 : x
  2. Step 2: Convert to fraction form
    78,424/118,371 = 118,371/x
  3. Step 3: Cross multiply
    78,424x = 118,371 × 118,371
  4. Step 4: Simplify right side
    78,424x = 14,011,693,641
  5. Step 5: Solve for x
    x = 14,011,693,641/78,424
  6. Step 6: Final answer
    x = 178,665.89

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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.