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Finding the Third Proportional to 1,307.38 and 1,890.19

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Solution

The third proportional to 1,307.38 and 1,890.19 is: 2,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.38 : 1,890.19 = 1,890.19 : x
  2. Step 2: Convert to fraction form
    1,307.38/1,890.19 = 1,890.19/x
  3. Step 3: Cross multiply
    1,307.38x = 1,890.19 × 1,890.19
  4. Step 4: Simplify right side
    1,307.38x = 3,572,808.79
  5. Step 5: Solve for x
    x = 3,572,808.79/1,307.38
  6. Step 6: Final answer
    x = 2,732.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.