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Finding the Third Proportional to 398,980.69 and 598,888.69

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Solution

The third proportional to 398,980.69 and 598,888.69 is: 898,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,980.69 : 598,888.69 = 598,888.69 : x
  2. Step 2: Convert to fraction form
    398,980.69/598,888.69 = 598,888.69/x
  3. Step 3: Cross multiply
    398,980.69x = 598,888.69 × 598,888.69
  4. Step 4: Simplify right side
    398,980.69x = 358,667,660,015.47
  5. Step 5: Solve for x
    x = 358,667,660,015.47/398,980.69
  6. Step 6: Final answer
    x = 898,959.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.