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Finding the Third Proportional to 631,089 and 1,358,406

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Solution

The third proportional to 631,089 and 1,358,406 is: 2,923,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,089 : 1,358,406 = 1,358,406 : x
  2. Step 2: Convert to fraction form
    631,089/1,358,406 = 1,358,406/x
  3. Step 3: Cross multiply
    631,089x = 1,358,406 × 1,358,406
  4. Step 4: Simplify right side
    631,089x = 1,845,266,860,836
  5. Step 5: Solve for x
    x = 1,845,266,860,836/631,089
  6. Step 6: Final answer
    x = 2,923,940.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.