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Finding the Third Proportional to 322,770 and 689,466

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Solution

The third proportional to 322,770 and 689,466 is: 1,472,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,770 : 689,466 = 689,466 : x
  2. Step 2: Convert to fraction form
    322,770/689,466 = 689,466/x
  3. Step 3: Cross multiply
    322,770x = 689,466 × 689,466
  4. Step 4: Simplify right side
    322,770x = 475,363,365,156
  5. Step 5: Solve for x
    x = 475,363,365,156/322,770
  6. Step 6: Final answer
    x = 1,472,761.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.