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Finding the Third Proportional to 137,810 and 284,476

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Solution

The third proportional to 137,810 and 284,476 is: 587,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810 : 284,476 = 284,476 : x
  2. Step 2: Convert to fraction form
    137,810/284,476 = 284,476/x
  3. Step 3: Cross multiply
    137,810x = 284,476 × 284,476
  4. Step 4: Simplify right side
    137,810x = 80,926,594,576
  5. Step 5: Solve for x
    x = 80,926,594,576/137,810
  6. Step 6: Final answer
    x = 587,233.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.