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Finding the Third Proportional to 630,989 and 1,368,441

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Solution

The third proportional to 630,989 and 1,368,441 is: 2,967,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,989 : 1,368,441 = 1,368,441 : x
  2. Step 2: Convert to fraction form
    630,989/1,368,441 = 1,368,441/x
  3. Step 3: Cross multiply
    630,989x = 1,368,441 × 1,368,441
  4. Step 4: Simplify right side
    630,989x = 1,872,630,770,481
  5. Step 5: Solve for x
    x = 1,872,630,770,481/630,989
  6. Step 6: Final answer
    x = 2,967,770.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.