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Finding the Third Proportional to 1,402.31 and 2,316.38

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Solution

The third proportional to 1,402.31 and 2,316.38 is: 3,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.31 : 2,316.38 = 2,316.38 : x
  2. Step 2: Convert to fraction form
    1,402.31/2,316.38 = 2,316.38/x
  3. Step 3: Cross multiply
    1,402.31x = 2,316.38 × 2,316.38
  4. Step 4: Simplify right side
    1,402.31x = 5,365,593.14
  5. Step 5: Solve for x
    x = 5,365,593.14/1,402.31
  6. Step 6: Final answer
    x = 3,826.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.