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Finding the Third Proportional to 521,290 and 805,878

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Solution

The third proportional to 521,290 and 805,878 is: 1,245,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,290 : 805,878 = 805,878 : x
  2. Step 2: Convert to fraction form
    521,290/805,878 = 805,878/x
  3. Step 3: Cross multiply
    521,290x = 805,878 × 805,878
  4. Step 4: Simplify right side
    521,290x = 649,439,350,884
  5. Step 5: Solve for x
    x = 649,439,350,884/521,290
  6. Step 6: Final answer
    x = 1,245,831.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.