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Finding the Third Proportional to 398,432.50 and 863,237

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Solution

The third proportional to 398,432.50 and 863,237 is: 1,870,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,432.50 : 863,237 = 863,237 : x
  2. Step 2: Convert to fraction form
    398,432.50/863,237 = 863,237/x
  3. Step 3: Cross multiply
    398,432.50x = 863,237 × 863,237
  4. Step 4: Simplify right side
    398,432.50x = 745,178,118,169
  5. Step 5: Solve for x
    x = 745,178,118,169/398,432.50
  6. Step 6: Final answer
    x = 1,870,274.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.