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Finding the Third Proportional to 134,920 and 294,136

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Solution

The third proportional to 134,920 and 294,136 is: 641,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,920 : 294,136 = 294,136 : x
  2. Step 2: Convert to fraction form
    134,920/294,136 = 294,136/x
  3. Step 3: Cross multiply
    134,920x = 294,136 × 294,136
  4. Step 4: Simplify right side
    134,920x = 86,515,986,496
  5. Step 5: Solve for x
    x = 86,515,986,496/134,920
  6. Step 6: Final answer
    x = 641,239.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.