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Finding the Third Proportional to 421,066.41 and 647,216.16

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Solution

The third proportional to 421,066.41 and 647,216.16 is: 994,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,066.41 : 647,216.16 = 647,216.16 : x
  2. Step 2: Convert to fraction form
    421,066.41/647,216.16 = 647,216.16/x
  3. Step 3: Cross multiply
    421,066.41x = 647,216.16 × 647,216.16
  4. Step 4: Simplify right side
    421,066.41x = 418,888,752,911.02
  5. Step 5: Solve for x
    x = 418,888,752,911.02/421,066.41
  6. Step 6: Final answer
    x = 994,828.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.