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Finding the Third Proportional to 402,328 and 563,899

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Solution

The third proportional to 402,328 and 563,899 is: 790,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,328 : 563,899 = 563,899 : x
  2. Step 2: Convert to fraction form
    402,328/563,899 = 563,899/x
  3. Step 3: Cross multiply
    402,328x = 563,899 × 563,899
  4. Step 4: Simplify right side
    402,328x = 317,982,082,201
  5. Step 5: Solve for x
    x = 317,982,082,201/402,328
  6. Step 6: Final answer
    x = 790,355.34

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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.