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Finding the Third Proportional to 78,774 and 117,888

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Solution

The third proportional to 78,774 and 117,888 is: 176,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774 : 117,888 = 117,888 : x
  2. Step 2: Convert to fraction form
    78,774/117,888 = 117,888/x
  3. Step 3: Cross multiply
    78,774x = 117,888 × 117,888
  4. Step 4: Simplify right side
    78,774x = 13,897,580,544
  5. Step 5: Solve for x
    x = 13,897,580,544/78,774
  6. Step 6: Final answer
    x = 176,423.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.