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Finding the Third Proportional to 570,794 and 839,640

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Solution

The third proportional to 570,794 and 839,640 is: 1,235,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,794 : 839,640 = 839,640 : x
  2. Step 2: Convert to fraction form
    570,794/839,640 = 839,640/x
  3. Step 3: Cross multiply
    570,794x = 839,640 × 839,640
  4. Step 4: Simplify right side
    570,794x = 704,995,329,600
  5. Step 5: Solve for x
    x = 704,995,329,600/570,794
  6. Step 6: Final answer
    x = 1,235,113.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.