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Finding the Third Proportional to 131,031 and 286,578

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Solution

The third proportional to 131,031 and 286,578 is: 626,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,031 : 286,578 = 286,578 : x
  2. Step 2: Convert to fraction form
    131,031/286,578 = 286,578/x
  3. Step 3: Cross multiply
    131,031x = 286,578 × 286,578
  4. Step 4: Simplify right side
    131,031x = 82,126,950,084
  5. Step 5: Solve for x
    x = 82,126,950,084/131,031
  6. Step 6: Final answer
    x = 626,774.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.