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Finding the Third Proportional to 431,973 and 608,045

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Solution

The third proportional to 431,973 and 608,045 is: 855,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,973 : 608,045 = 608,045 : x
  2. Step 2: Convert to fraction form
    431,973/608,045 = 608,045/x
  3. Step 3: Cross multiply
    431,973x = 608,045 × 608,045
  4. Step 4: Simplify right side
    431,973x = 369,718,722,025
  5. Step 5: Solve for x
    x = 369,718,722,025/431,973
  6. Step 6: Final answer
    x = 855,883.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.