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Finding the Third Proportional to 211,513 and 433,342

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Solution

The third proportional to 211,513 and 433,342 is: 887,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,513 : 433,342 = 433,342 : x
  2. Step 2: Convert to fraction form
    211,513/433,342 = 433,342/x
  3. Step 3: Cross multiply
    211,513x = 433,342 × 433,342
  4. Step 4: Simplify right side
    211,513x = 187,785,288,964
  5. Step 5: Solve for x
    x = 187,785,288,964/211,513
  6. Step 6: Final answer
    x = 887,819.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.