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Finding the Third Proportional to 52,044 and 112,773

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Solution

The third proportional to 52,044 and 112,773 is: 244,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044 : 112,773 = 112,773 : x
  2. Step 2: Convert to fraction form
    52,044/112,773 = 112,773/x
  3. Step 3: Cross multiply
    52,044x = 112,773 × 112,773
  4. Step 4: Simplify right side
    52,044x = 12,717,749,529
  5. Step 5: Solve for x
    x = 12,717,749,529/52,044
  6. Step 6: Final answer
    x = 244,365.34

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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.