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Finding the Third Proportional to 288,378 and 632,916

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Solution

The third proportional to 288,378 and 632,916 is: 1,389,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,378 : 632,916 = 632,916 : x
  2. Step 2: Convert to fraction form
    288,378/632,916 = 632,916/x
  3. Step 3: Cross multiply
    288,378x = 632,916 × 632,916
  4. Step 4: Simplify right side
    288,378x = 400,582,663,056
  5. Step 5: Solve for x
    x = 400,582,663,056/288,378
  6. Step 6: Final answer
    x = 1,389,088.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.