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Finding the Third Proportional to 213,560 and 309,324

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Solution

The third proportional to 213,560 and 309,324 is: 448,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,560 : 309,324 = 309,324 : x
  2. Step 2: Convert to fraction form
    213,560/309,324 = 309,324/x
  3. Step 3: Cross multiply
    213,560x = 309,324 × 309,324
  4. Step 4: Simplify right side
    213,560x = 95,681,336,976
  5. Step 5: Solve for x
    x = 95,681,336,976/213,560
  6. Step 6: Final answer
    x = 448,030.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.