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Finding the Third Proportional to 140,058 and 293,778

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Solution

The third proportional to 140,058 and 293,778 is: 616,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,058 : 293,778 = 293,778 : x
  2. Step 2: Convert to fraction form
    140,058/293,778 = 293,778/x
  3. Step 3: Cross multiply
    140,058x = 293,778 × 293,778
  4. Step 4: Simplify right side
    140,058x = 86,305,513,284
  5. Step 5: Solve for x
    x = 86,305,513,284/140,058
  6. Step 6: Final answer
    x = 616,212.66

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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.