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Finding the Third Proportional to 612.47 and 1,335.09

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Solution

The third proportional to 612.47 and 1,335.09 is: 2,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 1,335.09 = 1,335.09 : x
  2. Step 2: Convert to fraction form
    612.47/1,335.09 = 1,335.09/x
  3. Step 3: Cross multiply
    612.47x = 1,335.09 × 1,335.09
  4. Step 4: Simplify right side
    612.47x = 1,782,475.32
  5. Step 5: Solve for x
    x = 1,782,475.32/612.47
  6. Step 6: Final answer
    x = 2,910.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.