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Finding the Third Proportional to 415,496 and 909,616

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Solution

The third proportional to 415,496 and 909,616 is: 1,991,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,496 : 909,616 = 909,616 : x
  2. Step 2: Convert to fraction form
    415,496/909,616 = 909,616/x
  3. Step 3: Cross multiply
    415,496x = 909,616 × 909,616
  4. Step 4: Simplify right side
    415,496x = 827,401,267,456
  5. Step 5: Solve for x
    x = 827,401,267,456/415,496
  6. Step 6: Final answer
    x = 1,991,357.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.