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Finding the Third Proportional to 322,564 and 512,448

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Solution

The third proportional to 322,564 and 512,448 is: 814,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,564 : 512,448 = 512,448 : x
  2. Step 2: Convert to fraction form
    322,564/512,448 = 512,448/x
  3. Step 3: Cross multiply
    322,564x = 512,448 × 512,448
  4. Step 4: Simplify right side
    322,564x = 262,602,952,704
  5. Step 5: Solve for x
    x = 262,602,952,704/322,564
  6. Step 6: Final answer
    x = 814,111.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.