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Finding the Third Proportional to 78,058.69 and 164,278.13

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Solution

The third proportional to 78,058.69 and 164,278.13 is: 345,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058.69 : 164,278.13 = 164,278.13 : x
  2. Step 2: Convert to fraction form
    78,058.69/164,278.13 = 164,278.13/x
  3. Step 3: Cross multiply
    78,058.69x = 164,278.13 × 164,278.13
  4. Step 4: Simplify right side
    78,058.69x = 26,987,302,353.52
  5. Step 5: Solve for x
    x = 26,987,302,353.52/78,058.69
  6. Step 6: Final answer
    x = 345,730.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.