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Finding the Third Proportional to 4,875.19 and 10,557.84

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Solution

The third proportional to 4,875.19 and 10,557.84 is: 22,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.19 : 10,557.84 = 10,557.84 : x
  2. Step 2: Convert to fraction form
    4,875.19/10,557.84 = 10,557.84/x
  3. Step 3: Cross multiply
    4,875.19x = 10,557.84 × 10,557.84
  4. Step 4: Simplify right side
    4,875.19x = 111,468,064.65
  5. Step 5: Solve for x
    x = 111,468,064.65/4,875.19
  6. Step 6: Final answer
    x = 22,864.36

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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.