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Finding the Third Proportional to 1,407.38 and 1,851.19

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Solution

The third proportional to 1,407.38 and 1,851.19 is: 2,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.38 : 1,851.19 = 1,851.19 : x
  2. Step 2: Convert to fraction form
    1,407.38/1,851.19 = 1,851.19/x
  3. Step 3: Cross multiply
    1,407.38x = 1,851.19 × 1,851.19
  4. Step 4: Simplify right side
    1,407.38x = 3,426,895.16
  5. Step 5: Solve for x
    x = 3,426,895.16/1,407.38
  6. Step 6: Final answer
    x = 2,434.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.