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Finding the Third Proportional to 419,754 and 472,242

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Solution

The third proportional to 419,754 and 472,242 is: 531,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,754 : 472,242 = 472,242 : x
  2. Step 2: Convert to fraction form
    419,754/472,242 = 472,242/x
  3. Step 3: Cross multiply
    419,754x = 472,242 × 472,242
  4. Step 4: Simplify right side
    419,754x = 223,012,506,564
  5. Step 5: Solve for x
    x = 223,012,506,564/419,754
  6. Step 6: Final answer
    x = 531,293.34

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.