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Finding the Third Proportional to 489.75 and 560.63

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Solution

The third proportional to 489.75 and 560.63 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.75 : 560.63 = 560.63 : x
  2. Step 2: Convert to fraction form
    489.75/560.63 = 560.63/x
  3. Step 3: Cross multiply
    489.75x = 560.63 × 560.63
  4. Step 4: Simplify right side
    489.75x = 314,300.39
  5. Step 5: Solve for x
    x = 314,300.39/489.75
  6. Step 6: Final answer
    x = 641.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.