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Finding the Third Proportional to 142,408.13 and 310,331.25

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Solution

The third proportional to 142,408.13 and 310,331.25 is: 676,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408.13 : 310,331.25 = 310,331.25 : x
  2. Step 2: Convert to fraction form
    142,408.13/310,331.25 = 310,331.25/x
  3. Step 3: Cross multiply
    142,408.13x = 310,331.25 × 310,331.25
  4. Step 4: Simplify right side
    142,408.13x = 96,305,484,726.56
  5. Step 5: Solve for x
    x = 96,305,484,726.56/142,408.13
  6. Step 6: Final answer
    x = 676,263.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.