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Finding the Third Proportional to 261,930 and 563,989

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Solution

The third proportional to 261,930 and 563,989 is: 1,214,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,930 : 563,989 = 563,989 : x
  2. Step 2: Convert to fraction form
    261,930/563,989 = 563,989/x
  3. Step 3: Cross multiply
    261,930x = 563,989 × 563,989
  4. Step 4: Simplify right side
    261,930x = 318,083,592,121
  5. Step 5: Solve for x
    x = 318,083,592,121/261,930
  6. Step 6: Final answer
    x = 1,214,383.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.