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Finding the Third Proportional to 338,973 and 464,805

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Solution

The third proportional to 338,973 and 464,805 is: 637,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,973 : 464,805 = 464,805 : x
  2. Step 2: Convert to fraction form
    338,973/464,805 = 464,805/x
  3. Step 3: Cross multiply
    338,973x = 464,805 × 464,805
  4. Step 4: Simplify right side
    338,973x = 216,043,688,025
  5. Step 5: Solve for x
    x = 216,043,688,025/338,973
  6. Step 6: Final answer
    x = 637,347.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.