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Finding the Third Proportional to 131,789 and 310,955

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Solution

The third proportional to 131,789 and 310,955 is: 733,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,789 : 310,955 = 310,955 : x
  2. Step 2: Convert to fraction form
    131,789/310,955 = 310,955/x
  3. Step 3: Cross multiply
    131,789x = 310,955 × 310,955
  4. Step 4: Simplify right side
    131,789x = 96,693,012,025
  5. Step 5: Solve for x
    x = 96,693,012,025/131,789
  6. Step 6: Final answer
    x = 733,695.62

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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.