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Finding the Third Proportional to 661,218 and 1,432,324

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Solution

The third proportional to 661,218 and 1,432,324 is: 3,102,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,218 : 1,432,324 = 1,432,324 : x
  2. Step 2: Convert to fraction form
    661,218/1,432,324 = 1,432,324/x
  3. Step 3: Cross multiply
    661,218x = 1,432,324 × 1,432,324
  4. Step 4: Simplify right side
    661,218x = 2,051,552,040,976
  5. Step 5: Solve for x
    x = 2,051,552,040,976/661,218
  6. Step 6: Final answer
    x = 3,102,686.32

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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.