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Finding the Third Proportional to 191,478 and 409,020

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Solution

The third proportional to 191,478 and 409,020 is: 873,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,478 : 409,020 = 409,020 : x
  2. Step 2: Convert to fraction form
    191,478/409,020 = 409,020/x
  3. Step 3: Cross multiply
    191,478x = 409,020 × 409,020
  4. Step 4: Simplify right side
    191,478x = 167,297,360,400
  5. Step 5: Solve for x
    x = 167,297,360,400/191,478
  6. Step 6: Final answer
    x = 873,715.83

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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.