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Finding the Third Proportional to 211,509 and 327,663

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Solution

The third proportional to 211,509 and 327,663 is: 507,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509 : 327,663 = 327,663 : x
  2. Step 2: Convert to fraction form
    211,509/327,663 = 327,663/x
  3. Step 3: Cross multiply
    211,509x = 327,663 × 327,663
  4. Step 4: Simplify right side
    211,509x = 107,363,041,569
  5. Step 5: Solve for x
    x = 107,363,041,569/211,509
  6. Step 6: Final answer
    x = 507,605.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.