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Finding the Third Proportional to 547,970 and 859,818

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Solution

The third proportional to 547,970 and 859,818 is: 1,349,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,970 : 859,818 = 859,818 : x
  2. Step 2: Convert to fraction form
    547,970/859,818 = 859,818/x
  3. Step 3: Cross multiply
    547,970x = 859,818 × 859,818
  4. Step 4: Simplify right side
    547,970x = 739,286,993,124
  5. Step 5: Solve for x
    x = 739,286,993,124/547,970
  6. Step 6: Final answer
    x = 1,349,137.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.