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Finding the Third Proportional to 420,177 and 899,418

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Solution

The third proportional to 420,177 and 899,418 is: 1,925,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,177 : 899,418 = 899,418 : x
  2. Step 2: Convert to fraction form
    420,177/899,418 = 899,418/x
  3. Step 3: Cross multiply
    420,177x = 899,418 × 899,418
  4. Step 4: Simplify right side
    420,177x = 808,952,738,724
  5. Step 5: Solve for x
    x = 808,952,738,724/420,177
  6. Step 6: Final answer
    x = 1,925,266.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.