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Finding the Third Proportional to 612.88 and 1,591.13

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Solution

The third proportional to 612.88 and 1,591.13 is: 4,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.88 : 1,591.13 = 1,591.13 : x
  2. Step 2: Convert to fraction form
    612.88/1,591.13 = 1,591.13/x
  3. Step 3: Cross multiply
    612.88x = 1,591.13 × 1,591.13
  4. Step 4: Simplify right side
    612.88x = 2,531,678.77
  5. Step 5: Solve for x
    x = 2,531,678.77/612.88
  6. Step 6: Final answer
    x = 4,130.82

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.