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Finding the Third Proportional to 259,931 and 568,780

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Solution

The third proportional to 259,931 and 568,780 is: 1,244,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,931 : 568,780 = 568,780 : x
  2. Step 2: Convert to fraction form
    259,931/568,780 = 568,780/x
  3. Step 3: Cross multiply
    259,931x = 568,780 × 568,780
  4. Step 4: Simplify right side
    259,931x = 323,510,688,400
  5. Step 5: Solve for x
    x = 323,510,688,400/259,931
  6. Step 6: Final answer
    x = 1,244,602.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.