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Finding the Third Proportional to 131,581.13 and 310,408.88

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Solution

The third proportional to 131,581.13 and 310,408.88 is: 732,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,581.13 : 310,408.88 = 310,408.88 : x
  2. Step 2: Convert to fraction form
    131,581.13/310,408.88 = 310,408.88/x
  3. Step 3: Cross multiply
    131,581.13x = 310,408.88 × 310,408.88
  4. Step 4: Simplify right side
    131,581.13x = 96,353,669,678.77
  5. Step 5: Solve for x
    x = 96,353,669,678.77/131,581.13
  6. Step 6: Final answer
    x = 732,275.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.