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Finding the Third Proportional to 1,306.81 and 1,862.90

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Solution

The third proportional to 1,306.81 and 1,862.90 is: 2,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.81 : 1,862.90 = 1,862.90 : x
  2. Step 2: Convert to fraction form
    1,306.81/1,862.90 = 1,862.90/x
  3. Step 3: Cross multiply
    1,306.81x = 1,862.90 × 1,862.90
  4. Step 4: Simplify right side
    1,306.81x = 3,470,400.59
  5. Step 5: Solve for x
    x = 3,470,400.59/1,306.81
  6. Step 6: Final answer
    x = 2,655.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.