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Finding the Third Proportional to 112,305 and 243,284

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Solution

The third proportional to 112,305 and 243,284 is: 527,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,305 : 243,284 = 243,284 : x
  2. Step 2: Convert to fraction form
    112,305/243,284 = 243,284/x
  3. Step 3: Cross multiply
    112,305x = 243,284 × 243,284
  4. Step 4: Simplify right side
    112,305x = 59,187,104,656
  5. Step 5: Solve for x
    x = 59,187,104,656/112,305
  6. Step 6: Final answer
    x = 527,021.10

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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.