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Finding the Third Proportional to 809,902 and 1,772,348

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Solution

The third proportional to 809,902 and 1,772,348 is: 3,878,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,902 : 1,772,348 = 1,772,348 : x
  2. Step 2: Convert to fraction form
    809,902/1,772,348 = 1,772,348/x
  3. Step 3: Cross multiply
    809,902x = 1,772,348 × 1,772,348
  4. Step 4: Simplify right side
    809,902x = 3,141,217,433,104
  5. Step 5: Solve for x
    x = 3,141,217,433,104/809,902
  6. Step 6: Final answer
    x = 3,878,515.47

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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.