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Finding the Third Proportional to 103,681 and 217,807

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Solution

The third proportional to 103,681 and 217,807 is: 457,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 217,807 = 217,807 : x
  2. Step 2: Convert to fraction form
    103,681/217,807 = 217,807/x
  3. Step 3: Cross multiply
    103,681x = 217,807 × 217,807
  4. Step 4: Simplify right side
    103,681x = 47,439,889,249
  5. Step 5: Solve for x
    x = 47,439,889,249/103,681
  6. Step 6: Final answer
    x = 457,556.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.