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Finding the Third Proportional to 372,417 and 789,522

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Solution

The third proportional to 372,417 and 789,522 is: 1,673,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,417 : 789,522 = 789,522 : x
  2. Step 2: Convert to fraction form
    372,417/789,522 = 789,522/x
  3. Step 3: Cross multiply
    372,417x = 789,522 × 789,522
  4. Step 4: Simplify right side
    372,417x = 623,344,988,484
  5. Step 5: Solve for x
    x = 623,344,988,484/372,417
  6. Step 6: Final answer
    x = 1,673,782.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.