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Finding the Third Proportional to 259,632 and 515,565

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Solution

The third proportional to 259,632 and 515,565 is: 1,023,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,632 : 515,565 = 515,565 : x
  2. Step 2: Convert to fraction form
    259,632/515,565 = 515,565/x
  3. Step 3: Cross multiply
    259,632x = 515,565 × 515,565
  4. Step 4: Simplify right side
    259,632x = 265,807,269,225
  5. Step 5: Solve for x
    x = 265,807,269,225/259,632
  6. Step 6: Final answer
    x = 1,023,784.70

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.