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Finding the Third Proportional to 574,385 and 804,905

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Solution

The third proportional to 574,385 and 804,905 is: 1,127,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,385 : 804,905 = 804,905 : x
  2. Step 2: Convert to fraction form
    574,385/804,905 = 804,905/x
  3. Step 3: Cross multiply
    574,385x = 804,905 × 804,905
  4. Step 4: Simplify right side
    574,385x = 647,872,059,025
  5. Step 5: Solve for x
    x = 647,872,059,025/574,385
  6. Step 6: Final answer
    x = 1,127,940.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.