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Finding the Third Proportional to 152,422 and 217,423

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Solution

The third proportional to 152,422 and 217,423 is: 310,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,422 : 217,423 = 217,423 : x
  2. Step 2: Convert to fraction form
    152,422/217,423 = 217,423/x
  3. Step 3: Cross multiply
    152,422x = 217,423 × 217,423
  4. Step 4: Simplify right side
    152,422x = 47,272,760,929
  5. Step 5: Solve for x
    x = 47,272,760,929/152,422
  6. Step 6: Final answer
    x = 310,143.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.