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Finding the Third Proportional to 421,065.84 and 647,215.31

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Solution

The third proportional to 421,065.84 and 647,215.31 is: 994,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,065.84 : 647,215.31 = 647,215.31 : x
  2. Step 2: Convert to fraction form
    421,065.84/647,215.31 = 647,215.31/x
  3. Step 3: Cross multiply
    421,065.84x = 647,215.31 × 647,215.31
  4. Step 4: Simplify right side
    421,065.84x = 418,887,660,734.47
  5. Step 5: Solve for x
    x = 418,887,660,734.47/421,065.84
  6. Step 6: Final answer
    x = 994,826.98

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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.