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Finding the Third Proportional to 494,417 and 742,942

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Solution

The third proportional to 494,417 and 742,942 is: 1,116,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,417 : 742,942 = 742,942 : x
  2. Step 2: Convert to fraction form
    494,417/742,942 = 742,942/x
  3. Step 3: Cross multiply
    494,417x = 742,942 × 742,942
  4. Step 4: Simplify right side
    494,417x = 551,962,815,364
  5. Step 5: Solve for x
    x = 551,962,815,364/494,417
  6. Step 6: Final answer
    x = 1,116,391.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.