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Finding the Third Proportional to 121,205 and 264,982

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Solution

The third proportional to 121,205 and 264,982 is: 579,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,205 : 264,982 = 264,982 : x
  2. Step 2: Convert to fraction form
    121,205/264,982 = 264,982/x
  3. Step 3: Cross multiply
    121,205x = 264,982 × 264,982
  4. Step 4: Simplify right side
    121,205x = 70,215,460,324
  5. Step 5: Solve for x
    x = 70,215,460,324/121,205
  6. Step 6: Final answer
    x = 579,311.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.