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Finding the Third Proportional to 46,508 and 101,710

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Solution

The third proportional to 46,508 and 101,710 is: 222,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508 : 101,710 = 101,710 : x
  2. Step 2: Convert to fraction form
    46,508/101,710 = 101,710/x
  3. Step 3: Cross multiply
    46,508x = 101,710 × 101,710
  4. Step 4: Simplify right side
    46,508x = 10,344,924,100
  5. Step 5: Solve for x
    x = 10,344,924,100/46,508
  6. Step 6: Final answer
    x = 222,433.22

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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.