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Finding the Third Proportional to 390,658.50 and 792,184.50

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Solution

The third proportional to 390,658.50 and 792,184.50 is: 1,606,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,658.50 : 792,184.50 = 792,184.50 : x
  2. Step 2: Convert to fraction form
    390,658.50/792,184.50 = 792,184.50/x
  3. Step 3: Cross multiply
    390,658.50x = 792,184.50 × 792,184.50
  4. Step 4: Simplify right side
    390,658.50x = 627,556,282,040.25
  5. Step 5: Solve for x
    x = 627,556,282,040.25/390,658.50
  6. Step 6: Final answer
    x = 1,606,406.32

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