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Finding the Third Proportional to 875.18 and 1,355.09

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Solution

The third proportional to 875.18 and 1,355.09 is: 2,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.18 : 1,355.09 = 1,355.09 : x
  2. Step 2: Convert to fraction form
    875.18/1,355.09 = 1,355.09/x
  3. Step 3: Cross multiply
    875.18x = 1,355.09 × 1,355.09
  4. Step 4: Simplify right side
    875.18x = 1,836,265.84
  5. Step 5: Solve for x
    x = 1,836,265.84/875.18
  6. Step 6: Final answer
    x = 2,098.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.