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Finding the Third Proportional to 387,080 and 857,104

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Solution

The third proportional to 387,080 and 857,104 is: 1,897,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,080 : 857,104 = 857,104 : x
  2. Step 2: Convert to fraction form
    387,080/857,104 = 857,104/x
  3. Step 3: Cross multiply
    387,080x = 857,104 × 857,104
  4. Step 4: Simplify right side
    387,080x = 734,627,266,816
  5. Step 5: Solve for x
    x = 734,627,266,816/387,080
  6. Step 6: Final answer
    x = 1,897,869.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.