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Finding the Third Proportional to 4,873.59 and 10,557.19

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Solution

The third proportional to 4,873.59 and 10,557.19 is: 22,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.59 : 10,557.19 = 10,557.19 : x
  2. Step 2: Convert to fraction form
    4,873.59/10,557.19 = 10,557.19/x
  3. Step 3: Cross multiply
    4,873.59x = 10,557.19 × 10,557.19
  4. Step 4: Simplify right side
    4,873.59x = 111,454,207.91
  5. Step 5: Solve for x
    x = 111,454,207.91/4,873.59
  6. Step 6: Final answer
    x = 22,869.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.