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Finding the Third Proportional to 213,664 and 309,472

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Solution

The third proportional to 213,664 and 309,472 is: 448,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,664 : 309,472 = 309,472 : x
  2. Step 2: Convert to fraction form
    213,664/309,472 = 309,472/x
  3. Step 3: Cross multiply
    213,664x = 309,472 × 309,472
  4. Step 4: Simplify right side
    213,664x = 95,772,918,784
  5. Step 5: Solve for x
    x = 95,772,918,784/213,664
  6. Step 6: Final answer
    x = 448,240.78

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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.