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Finding the Third Proportional to 285,140.25 and 426,856.50

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Solution

The third proportional to 285,140.25 and 426,856.50 is: 639,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,140.25 : 426,856.50 = 426,856.50 : x
  2. Step 2: Convert to fraction form
    285,140.25/426,856.50 = 426,856.50/x
  3. Step 3: Cross multiply
    285,140.25x = 426,856.50 × 426,856.50
  4. Step 4: Simplify right side
    285,140.25x = 182,206,471,592.25
  5. Step 5: Solve for x
    x = 182,206,471,592.25/285,140.25
  6. Step 6: Final answer
    x = 639,006.49

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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.