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Finding the Third Proportional to 400,510 and 559,938

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Solution

The third proportional to 400,510 and 559,938 is: 782,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,510 : 559,938 = 559,938 : x
  2. Step 2: Convert to fraction form
    400,510/559,938 = 559,938/x
  3. Step 3: Cross multiply
    400,510x = 559,938 × 559,938
  4. Step 4: Simplify right side
    400,510x = 313,530,563,844
  5. Step 5: Solve for x
    x = 313,530,563,844/400,510
  6. Step 6: Final answer
    x = 782,828.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.