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Finding the Third Proportional to 4,888.13 and 11,822.63

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Solution

The third proportional to 4,888.13 and 11,822.63 is: 28,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.13 : 11,822.63 = 11,822.63 : x
  2. Step 2: Convert to fraction form
    4,888.13/11,822.63 = 11,822.63/x
  3. Step 3: Cross multiply
    4,888.13x = 11,822.63 × 11,822.63
  4. Step 4: Simplify right side
    4,888.13x = 139,774,461.89
  5. Step 5: Solve for x
    x = 139,774,461.89/4,888.13
  6. Step 6: Final answer
    x = 28,594.70

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.