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Finding the Third Proportional to 2,590.88 and 5,586.19

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Solution

The third proportional to 2,590.88 and 5,586.19 is: 12,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.88 : 5,586.19 = 5,586.19 : x
  2. Step 2: Convert to fraction form
    2,590.88/5,586.19 = 5,586.19/x
  3. Step 3: Cross multiply
    2,590.88x = 5,586.19 × 5,586.19
  4. Step 4: Simplify right side
    2,590.88x = 31,205,490.79
  5. Step 5: Solve for x
    x = 31,205,490.79/2,590.88
  6. Step 6: Final answer
    x = 12,044.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.