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Finding the Third Proportional to 385,785 and 573,089

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Solution

The third proportional to 385,785 and 573,089 is: 851,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,785 : 573,089 = 573,089 : x
  2. Step 2: Convert to fraction form
    385,785/573,089 = 573,089/x
  3. Step 3: Cross multiply
    385,785x = 573,089 × 573,089
  4. Step 4: Simplify right side
    385,785x = 328,431,001,921
  5. Step 5: Solve for x
    x = 328,431,001,921/385,785
  6. Step 6: Final answer
    x = 851,331.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.