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Finding the Third Proportional to 390,561.75 and 791,990.16

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Solution

The third proportional to 390,561.75 and 791,990.16 is: 1,606,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,561.75 : 791,990.16 = 791,990.16 : x
  2. Step 2: Convert to fraction form
    390,561.75/791,990.16 = 791,990.16/x
  3. Step 3: Cross multiply
    390,561.75x = 791,990.16 × 791,990.16
  4. Step 4: Simplify right side
    390,561.75x = 627,248,407,596.90
  5. Step 5: Solve for x
    x = 627,248,407,596.90/390,561.75
  6. Step 6: Final answer
    x = 1,606,015.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.