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Finding the Third Proportional to 243,560 and 382,172

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Solution

The third proportional to 243,560 and 382,172 is: 599,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,560 : 382,172 = 382,172 : x
  2. Step 2: Convert to fraction form
    243,560/382,172 = 382,172/x
  3. Step 3: Cross multiply
    243,560x = 382,172 × 382,172
  4. Step 4: Simplify right side
    243,560x = 146,055,437,584
  5. Step 5: Solve for x
    x = 146,055,437,584/243,560
  6. Step 6: Final answer
    x = 599,669.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.