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Finding the Third Proportional to 321,930 and 512,448

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Solution

The third proportional to 321,930 and 512,448 is: 815,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,930 : 512,448 = 512,448 : x
  2. Step 2: Convert to fraction form
    321,930/512,448 = 512,448/x
  3. Step 3: Cross multiply
    321,930x = 512,448 × 512,448
  4. Step 4: Simplify right side
    321,930x = 262,602,952,704
  5. Step 5: Solve for x
    x = 262,602,952,704/321,930
  6. Step 6: Final answer
    x = 815,714.45

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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.