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Finding the Third Proportional to 489.63 and 703.88

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Solution

The third proportional to 489.63 and 703.88 is: 1,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.63 : 703.88 = 703.88 : x
  2. Step 2: Convert to fraction form
    489.63/703.88 = 703.88/x
  3. Step 3: Cross multiply
    489.63x = 703.88 × 703.88
  4. Step 4: Simplify right side
    489.63x = 495,440.02
  5. Step 5: Solve for x
    x = 495,440.02/489.63
  6. Step 6: Final answer
    x = 1,011.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.