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Finding the Third Proportional to 9,978.19 and 21,801.66

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Solution

The third proportional to 9,978.19 and 21,801.66 is: 47,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.19 : 21,801.66 = 21,801.66 : x
  2. Step 2: Convert to fraction form
    9,978.19/21,801.66 = 21,801.66/x
  3. Step 3: Cross multiply
    9,978.19x = 21,801.66 × 21,801.66
  4. Step 4: Simplify right side
    9,978.19x = 475,312,215.24
  5. Step 5: Solve for x
    x = 475,312,215.24/9,978.19
  6. Step 6: Final answer
    x = 47,635.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.