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Finding the Third Proportional to 632.58 and 1,389.70

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Solution

The third proportional to 632.58 and 1,389.70 is: 3,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 1,389.70 = 1,389.70 : x
  2. Step 2: Convert to fraction form
    632.58/1,389.70 = 1,389.70/x
  3. Step 3: Cross multiply
    632.58x = 1,389.70 × 1,389.70
  4. Step 4: Simplify right side
    632.58x = 1,931,274.78
  5. Step 5: Solve for x
    x = 1,931,274.78/632.58
  6. Step 6: Final answer
    x = 3,053.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.