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Finding the Third Proportional to 251,508.75 and 392,571.88

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Solution

The third proportional to 251,508.75 and 392,571.88 is: 612,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,508.75 : 392,571.88 = 392,571.88 : x
  2. Step 2: Convert to fraction form
    251,508.75/392,571.88 = 392,571.88/x
  3. Step 3: Cross multiply
    251,508.75x = 392,571.88 × 392,571.88
  4. Step 4: Simplify right side
    251,508.75x = 154,112,677,041.02
  5. Step 5: Solve for x
    x = 154,112,677,041.02/251,508.75
  6. Step 6: Final answer
    x = 612,752.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.