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Finding the Third Proportional to 401,699 and 533,109

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Solution

The third proportional to 401,699 and 533,109 is: 707,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,699 : 533,109 = 533,109 : x
  2. Step 2: Convert to fraction form
    401,699/533,109 = 533,109/x
  3. Step 3: Cross multiply
    401,699x = 533,109 × 533,109
  4. Step 4: Simplify right side
    401,699x = 284,205,205,881
  5. Step 5: Solve for x
    x = 284,205,205,881/401,699
  6. Step 6: Final answer
    x = 707,507.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.