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Finding the Third Proportional to 489.38 and 783.56

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Solution

The third proportional to 489.38 and 783.56 is: 1,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 783.56 = 783.56 : x
  2. Step 2: Convert to fraction form
    489.38/783.56 = 783.56/x
  3. Step 3: Cross multiply
    489.38x = 783.56 × 783.56
  4. Step 4: Simplify right side
    489.38x = 613,970.19
  5. Step 5: Solve for x
    x = 613,970.19/489.38
  6. Step 6: Final answer
    x = 1,254.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.