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Finding the Third Proportional to 255,275 and 392,450

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Solution

The third proportional to 255,275 and 392,450 is: 603,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,275 : 392,450 = 392,450 : x
  2. Step 2: Convert to fraction form
    255,275/392,450 = 392,450/x
  3. Step 3: Cross multiply
    255,275x = 392,450 × 392,450
  4. Step 4: Simplify right side
    255,275x = 154,017,002,500
  5. Step 5: Solve for x
    x = 154,017,002,500/255,275
  6. Step 6: Final answer
    x = 603,337.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.