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Finding the Third Proportional to 366,947 and 808,389

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Solution

The third proportional to 366,947 and 808,389 is: 1,780,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 808,389 = 808,389 : x
  2. Step 2: Convert to fraction form
    366,947/808,389 = 808,389/x
  3. Step 3: Cross multiply
    366,947x = 808,389 × 808,389
  4. Step 4: Simplify right side
    366,947x = 653,492,775,321
  5. Step 5: Solve for x
    x = 653,492,775,321/366,947
  6. Step 6: Final answer
    x = 1,780,891.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.