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Finding the Third Proportional to 269,437.75 and 392,310.25

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Solution

The third proportional to 269,437.75 and 392,310.25 is: 571,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,437.75 : 392,310.25 = 392,310.25 : x
  2. Step 2: Convert to fraction form
    269,437.75/392,310.25 = 392,310.25/x
  3. Step 3: Cross multiply
    269,437.75x = 392,310.25 × 392,310.25
  4. Step 4: Simplify right side
    269,437.75x = 153,907,332,255.06
  5. Step 5: Solve for x
    x = 153,907,332,255.06/269,437.75
  6. Step 6: Final answer
    x = 571,216.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.