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Finding the Third Proportional to 915,846 and 1,989,324

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Solution

The third proportional to 915,846 and 1,989,324 is: 4,321,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,846 : 1,989,324 = 1,989,324 : x
  2. Step 2: Convert to fraction form
    915,846/1,989,324 = 1,989,324/x
  3. Step 3: Cross multiply
    915,846x = 1,989,324 × 1,989,324
  4. Step 4: Simplify right side
    915,846x = 3,957,409,976,976
  5. Step 5: Solve for x
    x = 3,957,409,976,976/915,846
  6. Step 6: Final answer
    x = 4,321,043.03

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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.