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Finding the Third Proportional to 46,721 and 109,686

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Solution

The third proportional to 46,721 and 109,686 is: 257,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,721 : 109,686 = 109,686 : x
  2. Step 2: Convert to fraction form
    46,721/109,686 = 109,686/x
  3. Step 3: Cross multiply
    46,721x = 109,686 × 109,686
  4. Step 4: Simplify right side
    46,721x = 12,031,018,596
  5. Step 5: Solve for x
    x = 12,031,018,596/46,721
  6. Step 6: Final answer
    x = 257,507.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.