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Finding the Third Proportional to 243,540 and 382,136

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Solution

The third proportional to 243,540 and 382,136 is: 599,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,540 : 382,136 = 382,136 : x
  2. Step 2: Convert to fraction form
    243,540/382,136 = 382,136/x
  3. Step 3: Cross multiply
    243,540x = 382,136 × 382,136
  4. Step 4: Simplify right side
    243,540x = 146,027,922,496
  5. Step 5: Solve for x
    x = 146,027,922,496/243,540
  6. Step 6: Final answer
    x = 599,605.50

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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.