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Finding the Third Proportional to 285,235.50 and 426,964.50

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Solution

The third proportional to 285,235.50 and 426,964.50 is: 639,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,235.50 : 426,964.50 = 426,964.50 : x
  2. Step 2: Convert to fraction form
    285,235.50/426,964.50 = 426,964.50/x
  3. Step 3: Cross multiply
    285,235.50x = 426,964.50 × 426,964.50
  4. Step 4: Simplify right side
    285,235.50x = 182,298,684,260.25
  5. Step 5: Solve for x
    x = 182,298,684,260.25/285,235.50
  6. Step 6: Final answer
    x = 639,116.39

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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.