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Finding the Third Proportional to 216,638 and 334,791

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Solution

The third proportional to 216,638 and 334,791 is: 517,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,638 : 334,791 = 334,791 : x
  2. Step 2: Convert to fraction form
    216,638/334,791 = 334,791/x
  3. Step 3: Cross multiply
    216,638x = 334,791 × 334,791
  4. Step 4: Simplify right side
    216,638x = 112,085,013,681
  5. Step 5: Solve for x
    x = 112,085,013,681/216,638
  6. Step 6: Final answer
    x = 517,383.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.