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Finding the Third Proportional to 331,374 and 506,698

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Solution

The third proportional to 331,374 and 506,698 is: 774,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,374 : 506,698 = 506,698 : x
  2. Step 2: Convert to fraction form
    331,374/506,698 = 506,698/x
  3. Step 3: Cross multiply
    331,374x = 506,698 × 506,698
  4. Step 4: Simplify right side
    331,374x = 256,742,863,204
  5. Step 5: Solve for x
    x = 256,742,863,204/331,374
  6. Step 6: Final answer
    x = 774,782.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.