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Finding the Third Proportional to 435,328 and 638,088

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Solution

The third proportional to 435,328 and 638,088 is: 935,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,328 : 638,088 = 638,088 : x
  2. Step 2: Convert to fraction form
    435,328/638,088 = 638,088/x
  3. Step 3: Cross multiply
    435,328x = 638,088 × 638,088
  4. Step 4: Simplify right side
    435,328x = 407,156,295,744
  5. Step 5: Solve for x
    x = 407,156,295,744/435,328
  6. Step 6: Final answer
    x = 935,286.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.