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Finding the Third Proportional to 912,481 and 1,985,503

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Solution

The third proportional to 912,481 and 1,985,503 is: 4,320,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,481 : 1,985,503 = 1,985,503 : x
  2. Step 2: Convert to fraction form
    912,481/1,985,503 = 1,985,503/x
  3. Step 3: Cross multiply
    912,481x = 1,985,503 × 1,985,503
  4. Step 4: Simplify right side
    912,481x = 3,942,222,163,009
  5. Step 5: Solve for x
    x = 3,942,222,163,009/912,481
  6. Step 6: Final answer
    x = 4,320,333.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.