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Finding the Third Proportional to 187,294 and 409,621

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Solution

The third proportional to 187,294 and 409,621 is: 895,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,294 : 409,621 = 409,621 : x
  2. Step 2: Convert to fraction form
    187,294/409,621 = 409,621/x
  3. Step 3: Cross multiply
    187,294x = 409,621 × 409,621
  4. Step 4: Simplify right side
    187,294x = 167,789,363,641
  5. Step 5: Solve for x
    x = 167,789,363,641/187,294
  6. Step 6: Final answer
    x = 895,860.86

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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.