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Finding the Third Proportional to 3,140.65 and 5,363.09

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Solution

The third proportional to 3,140.65 and 5,363.09 is: 9,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.65 : 5,363.09 = 5,363.09 : x
  2. Step 2: Convert to fraction form
    3,140.65/5,363.09 = 5,363.09/x
  3. Step 3: Cross multiply
    3,140.65x = 5,363.09 × 5,363.09
  4. Step 4: Simplify right side
    3,140.65x = 28,762,690.77
  5. Step 5: Solve for x
    x = 28,762,690.77/3,140.65
  6. Step 6: Final answer
    x = 9,158.20

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.