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Finding the Third Proportional to 78,394 and 118,320

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Solution

The third proportional to 78,394 and 118,320 is: 178,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394 : 118,320 = 118,320 : x
  2. Step 2: Convert to fraction form
    78,394/118,320 = 118,320/x
  3. Step 3: Cross multiply
    78,394x = 118,320 × 118,320
  4. Step 4: Simplify right side
    78,394x = 13,999,622,400
  5. Step 5: Solve for x
    x = 13,999,622,400/78,394
  6. Step 6: Final answer
    x = 178,580.28

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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.