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Finding the Third Proportional to 509.10 and 1,110.90

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Solution

The third proportional to 509.10 and 1,110.90 is: 2,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 1,110.90 = 1,110.90 : x
  2. Step 2: Convert to fraction form
    509.10/1,110.90 = 1,110.90/x
  3. Step 3: Cross multiply
    509.10x = 1,110.90 × 1,110.90
  4. Step 4: Simplify right side
    509.10x = 1,234,104.02
  5. Step 5: Solve for x
    x = 1,234,104.02/509.10
  6. Step 6: Final answer
    x = 2,424.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.