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Finding the Third Proportional to 78,014 and 117,708

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Solution

The third proportional to 78,014 and 117,708 is: 177,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014 : 117,708 = 117,708 : x
  2. Step 2: Convert to fraction form
    78,014/117,708 = 117,708/x
  3. Step 3: Cross multiply
    78,014x = 117,708 × 117,708
  4. Step 4: Simplify right side
    78,014x = 13,855,173,264
  5. Step 5: Solve for x
    x = 13,855,173,264/78,014
  6. Step 6: Final answer
    x = 177,598.55

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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.