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Finding the Third Proportional to 390,879 and 587,256.75

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Solution

The third proportional to 390,879 and 587,256.75 is: 882,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,879 : 587,256.75 = 587,256.75 : x
  2. Step 2: Convert to fraction form
    390,879/587,256.75 = 587,256.75/x
  3. Step 3: Cross multiply
    390,879x = 587,256.75 × 587,256.75
  4. Step 4: Simplify right side
    390,879x = 344,870,490,420.56
  5. Step 5: Solve for x
    x = 344,870,490,420.56/390,879
  6. Step 6: Final answer
    x = 882,294.75

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Why These Related Problems?

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