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Finding the Third Proportional to 121,846 and 282,056

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Solution

The third proportional to 121,846 and 282,056 is: 652,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,846 : 282,056 = 282,056 : x
  2. Step 2: Convert to fraction form
    121,846/282,056 = 282,056/x
  3. Step 3: Cross multiply
    121,846x = 282,056 × 282,056
  4. Step 4: Simplify right side
    121,846x = 79,555,587,136
  5. Step 5: Solve for x
    x = 79,555,587,136/121,846
  6. Step 6: Final answer
    x = 652,919.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.