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Finding the Third Proportional to 672,541 and 999,286

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Solution

The third proportional to 672,541 and 999,286 is: 1,484,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,541 : 999,286 = 999,286 : x
  2. Step 2: Convert to fraction form
    672,541/999,286 = 999,286/x
  3. Step 3: Cross multiply
    672,541x = 999,286 × 999,286
  4. Step 4: Simplify right side
    672,541x = 998,572,509,796
  5. Step 5: Solve for x
    x = 998,572,509,796/672,541
  6. Step 6: Final answer
    x = 1,484,775.66

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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.