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Finding the Third Proportional to 52,046 and 112,777

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Solution

The third proportional to 52,046 and 112,777 is: 244,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046 : 112,777 = 112,777 : x
  2. Step 2: Convert to fraction form
    52,046/112,777 = 112,777/x
  3. Step 3: Cross multiply
    52,046x = 112,777 × 112,777
  4. Step 4: Simplify right side
    52,046x = 12,718,651,729
  5. Step 5: Solve for x
    x = 12,718,651,729/52,046
  6. Step 6: Final answer
    x = 244,373.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.