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Finding the Third Proportional to 501,518 and 702,921

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Solution

The third proportional to 501,518 and 702,921 is: 985,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,518 : 702,921 = 702,921 : x
  2. Step 2: Convert to fraction form
    501,518/702,921 = 702,921/x
  3. Step 3: Cross multiply
    501,518x = 702,921 × 702,921
  4. Step 4: Simplify right side
    501,518x = 494,097,932,241
  5. Step 5: Solve for x
    x = 494,097,932,241/501,518
  6. Step 6: Final answer
    x = 985,204.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.