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Finding the Third Proportional to 419,412 and 912,552

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Solution

The third proportional to 419,412 and 912,552 is: 1,985,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,412 : 912,552 = 912,552 : x
  2. Step 2: Convert to fraction form
    419,412/912,552 = 912,552/x
  3. Step 3: Cross multiply
    419,412x = 912,552 × 912,552
  4. Step 4: Simplify right side
    419,412x = 832,751,152,704
  5. Step 5: Solve for x
    x = 832,751,152,704/419,412
  6. Step 6: Final answer
    x = 1,985,520.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.