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Finding the Third Proportional to 857,120 and 1,268,184

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Solution

The third proportional to 857,120 and 1,268,184 is: 1,876,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,120 : 1,268,184 = 1,268,184 : x
  2. Step 2: Convert to fraction form
    857,120/1,268,184 = 1,268,184/x
  3. Step 3: Cross multiply
    857,120x = 1,268,184 × 1,268,184
  4. Step 4: Simplify right side
    857,120x = 1,608,290,657,856
  5. Step 5: Solve for x
    x = 1,608,290,657,856/857,120
  6. Step 6: Final answer
    x = 1,876,389.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.