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Finding the Third Proportional to 403,288 and 619,031

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Solution

The third proportional to 403,288 and 619,031 is: 950,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,288 : 619,031 = 619,031 : x
  2. Step 2: Convert to fraction form
    403,288/619,031 = 619,031/x
  3. Step 3: Cross multiply
    403,288x = 619,031 × 619,031
  4. Step 4: Simplify right side
    403,288x = 383,199,378,961
  5. Step 5: Solve for x
    x = 383,199,378,961/403,288
  6. Step 6: Final answer
    x = 950,187.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.