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Finding the Third Proportional to 561,930 and 839,571

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Solution

The third proportional to 561,930 and 839,571 is: 1,254,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,930 : 839,571 = 839,571 : x
  2. Step 2: Convert to fraction form
    561,930/839,571 = 839,571/x
  3. Step 3: Cross multiply
    561,930x = 839,571 × 839,571
  4. Step 4: Simplify right side
    561,930x = 704,879,464,041
  5. Step 5: Solve for x
    x = 704,879,464,041/561,930
  6. Step 6: Final answer
    x = 1,254,390.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.