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Finding the Third Proportional to 211,436 and 315,513

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Solution

The third proportional to 211,436 and 315,513 is: 470,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,436 : 315,513 = 315,513 : x
  2. Step 2: Convert to fraction form
    211,436/315,513 = 315,513/x
  3. Step 3: Cross multiply
    211,436x = 315,513 × 315,513
  4. Step 4: Simplify right side
    211,436x = 99,548,453,169
  5. Step 5: Solve for x
    x = 99,548,453,169/211,436
  6. Step 6: Final answer
    x = 470,820.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.