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Finding the Third Proportional to 292,143.38 and 440,138.25

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Solution

The third proportional to 292,143.38 and 440,138.25 is: 663,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,143.38 : 440,138.25 = 440,138.25 : x
  2. Step 2: Convert to fraction form
    292,143.38/440,138.25 = 440,138.25/x
  3. Step 3: Cross multiply
    292,143.38x = 440,138.25 × 440,138.25
  4. Step 4: Simplify right side
    292,143.38x = 193,721,679,113.06
  5. Step 5: Solve for x
    x = 193,721,679,113.06/292,143.38
  6. Step 6: Final answer
    x = 663,104.82

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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.