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Finding the Third Proportional to 211,317 and 327,473

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Solution

The third proportional to 211,317 and 327,473 is: 507,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,317 : 327,473 = 327,473 : x
  2. Step 2: Convert to fraction form
    211,317/327,473 = 327,473/x
  3. Step 3: Cross multiply
    211,317x = 327,473 × 327,473
  4. Step 4: Simplify right side
    211,317x = 107,238,565,729
  5. Step 5: Solve for x
    x = 107,238,565,729/211,317
  6. Step 6: Final answer
    x = 507,477.23

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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.