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Finding the Third Proportional to 387,548 and 851,278

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Solution

The third proportional to 387,548 and 851,278 is: 1,869,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,548 : 851,278 = 851,278 : x
  2. Step 2: Convert to fraction form
    387,548/851,278 = 851,278/x
  3. Step 3: Cross multiply
    387,548x = 851,278 × 851,278
  4. Step 4: Simplify right side
    387,548x = 724,674,233,284
  5. Step 5: Solve for x
    x = 724,674,233,284/387,548
  6. Step 6: Final answer
    x = 1,869,895.43

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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.