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Finding the Third Proportional to 211,340 and 313,518

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Solution

The third proportional to 211,340 and 313,518 is: 465,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,340 : 313,518 = 313,518 : x
  2. Step 2: Convert to fraction form
    211,340/313,518 = 313,518/x
  3. Step 3: Cross multiply
    211,340x = 313,518 × 313,518
  4. Step 4: Simplify right side
    211,340x = 98,293,536,324
  5. Step 5: Solve for x
    x = 98,293,536,324/211,340
  6. Step 6: Final answer
    x = 465,096.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.