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Finding the Third Proportional to 402.38 and 875.63

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Solution

The third proportional to 402.38 and 875.63 is: 1,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.38 : 875.63 = 875.63 : x
  2. Step 2: Convert to fraction form
    402.38/875.63 = 875.63/x
  3. Step 3: Cross multiply
    402.38x = 875.63 × 875.63
  4. Step 4: Simplify right side
    402.38x = 766,719.14
  5. Step 5: Solve for x
    x = 766,719.14/402.38
  6. Step 6: Final answer
    x = 1,905.48

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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.