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Finding the Third Proportional to 322,054 and 688,395

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Solution

The third proportional to 322,054 and 688,395 is: 1,471,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,054 : 688,395 = 688,395 : x
  2. Step 2: Convert to fraction form
    322,054/688,395 = 688,395/x
  3. Step 3: Cross multiply
    322,054x = 688,395 × 688,395
  4. Step 4: Simplify right side
    322,054x = 473,887,676,025
  5. Step 5: Solve for x
    x = 473,887,676,025/322,054
  6. Step 6: Final answer
    x = 1,471,454.09

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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.