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Finding the Third Proportional to 211,342 and 313,521

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Solution

The third proportional to 211,342 and 313,521 is: 465,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,342 : 313,521 = 313,521 : x
  2. Step 2: Convert to fraction form
    211,342/313,521 = 313,521/x
  3. Step 3: Cross multiply
    211,342x = 313,521 × 313,521
  4. Step 4: Simplify right side
    211,342x = 98,295,417,441
  5. Step 5: Solve for x
    x = 98,295,417,441/211,342
  6. Step 6: Final answer
    x = 465,101.20

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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.