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Finding the Third Proportional to 389,397 and 568,784

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Solution

The third proportional to 389,397 and 568,784 is: 830,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,397 : 568,784 = 568,784 : x
  2. Step 2: Convert to fraction form
    389,397/568,784 = 568,784/x
  3. Step 3: Cross multiply
    389,397x = 568,784 × 568,784
  4. Step 4: Simplify right side
    389,397x = 323,515,238,656
  5. Step 5: Solve for x
    x = 323,515,238,656/389,397
  6. Step 6: Final answer
    x = 830,810.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.