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Finding the Third Proportional to 52,278 and 78,904

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Solution

The third proportional to 52,278 and 78,904 is: 119,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,278 : 78,904 = 78,904 : x
  2. Step 2: Convert to fraction form
    52,278/78,904 = 78,904/x
  3. Step 3: Cross multiply
    52,278x = 78,904 × 78,904
  4. Step 4: Simplify right side
    52,278x = 6,225,841,216
  5. Step 5: Solve for x
    x = 6,225,841,216/52,278
  6. Step 6: Final answer
    x = 119,091.04

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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.