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Finding the Third Proportional to 11,490.19 and 12,511.13

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Solution

The third proportional to 11,490.19 and 12,511.13 is: 13,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.19 : 12,511.13 = 12,511.13 : x
  2. Step 2: Convert to fraction form
    11,490.19/12,511.13 = 12,511.13/x
  3. Step 3: Cross multiply
    11,490.19x = 12,511.13 × 12,511.13
  4. Step 4: Simplify right side
    11,490.19x = 156,528,248.77
  5. Step 5: Solve for x
    x = 156,528,248.77/11,490.19
  6. Step 6: Final answer
    x = 13,622.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.