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Finding the Third Proportional to 41,454 and 63,753

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Solution

The third proportional to 41,454 and 63,753 is: 98,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454 : 63,753 = 63,753 : x
  2. Step 2: Convert to fraction form
    41,454/63,753 = 63,753/x
  3. Step 3: Cross multiply
    41,454x = 63,753 × 63,753
  4. Step 4: Simplify right side
    41,454x = 4,064,445,009
  5. Step 5: Solve for x
    x = 4,064,445,009/41,454
  6. Step 6: Final answer
    x = 98,047.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.