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Finding the Third Proportional to 391,062.94 and 557,821.69

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Solution

The third proportional to 391,062.94 and 557,821.69 is: 795,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,062.94 : 557,821.69 = 557,821.69 : x
  2. Step 2: Convert to fraction form
    391,062.94/557,821.69 = 557,821.69/x
  3. Step 3: Cross multiply
    391,062.94x = 557,821.69 × 557,821.69
  4. Step 4: Simplify right side
    391,062.94x = 311,165,035,045.35
  5. Step 5: Solve for x
    x = 311,165,035,045.35/391,062.94
  6. Step 6: Final answer
    x = 795,690.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.