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Finding the Third Proportional to 259,985 and 540,382

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Solution

The third proportional to 259,985 and 540,382 is: 1,123,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,985 : 540,382 = 540,382 : x
  2. Step 2: Convert to fraction form
    259,985/540,382 = 540,382/x
  3. Step 3: Cross multiply
    259,985x = 540,382 × 540,382
  4. Step 4: Simplify right side
    259,985x = 292,012,705,924
  5. Step 5: Solve for x
    x = 292,012,705,924/259,985
  6. Step 6: Final answer
    x = 1,123,190.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.