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Finding the Third Proportional to 47,497 and 103,810

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Solution

The third proportional to 47,497 and 103,810 is: 226,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497 : 103,810 = 103,810 : x
  2. Step 2: Convert to fraction form
    47,497/103,810 = 103,810/x
  3. Step 3: Cross multiply
    47,497x = 103,810 × 103,810
  4. Step 4: Simplify right side
    47,497x = 10,776,516,100
  5. Step 5: Solve for x
    x = 10,776,516,100/47,497
  6. Step 6: Final answer
    x = 226,888.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.