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Finding the Third Proportional to 409,218 and 875,284

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Solution

The third proportional to 409,218 and 875,284 is: 1,872,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,218 : 875,284 = 875,284 : x
  2. Step 2: Convert to fraction form
    409,218/875,284 = 875,284/x
  3. Step 3: Cross multiply
    409,218x = 875,284 × 875,284
  4. Step 4: Simplify right side
    409,218x = 766,122,080,656
  5. Step 5: Solve for x
    x = 766,122,080,656/409,218
  6. Step 6: Final answer
    x = 1,872,161.25

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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.