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Finding the Third Proportional to 131,719.50 and 285,612.75

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Solution

The third proportional to 131,719.50 and 285,612.75 is: 619,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,719.50 : 285,612.75 = 285,612.75 : x
  2. Step 2: Convert to fraction form
    131,719.50/285,612.75 = 285,612.75/x
  3. Step 3: Cross multiply
    131,719.50x = 285,612.75 × 285,612.75
  4. Step 4: Simplify right side
    131,719.50x = 81,574,642,962.56
  5. Step 5: Solve for x
    x = 81,574,642,962.56/131,719.50
  6. Step 6: Final answer
    x = 619,305.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.