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Finding the Third Proportional to 251,507.75 and 392,570.50

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Solution

The third proportional to 251,507.75 and 392,570.50 is: 612,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,507.75 : 392,570.50 = 392,570.50 : x
  2. Step 2: Convert to fraction form
    251,507.75/392,570.50 = 392,570.50/x
  3. Step 3: Cross multiply
    251,507.75x = 392,570.50 × 392,570.50
  4. Step 4: Simplify right side
    251,507.75x = 154,111,597,470.25
  5. Step 5: Solve for x
    x = 154,111,597,470.25/251,507.75
  6. Step 6: Final answer
    x = 612,750.89

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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.