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Finding the Third Proportional to 251,781 and 559,506

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Solution

The third proportional to 251,781 and 559,506 is: 1,243,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,781 : 559,506 = 559,506 : x
  2. Step 2: Convert to fraction form
    251,781/559,506 = 559,506/x
  3. Step 3: Cross multiply
    251,781x = 559,506 × 559,506
  4. Step 4: Simplify right side
    251,781x = 313,046,964,036
  5. Step 5: Solve for x
    x = 313,046,964,036/251,781
  6. Step 6: Final answer
    x = 1,243,330.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.