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Finding the Third Proportional to 389,430 and 568,827

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Solution

The third proportional to 389,430 and 568,827 is: 830,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430 : 568,827 = 568,827 : x
  2. Step 2: Convert to fraction form
    389,430/568,827 = 568,827/x
  3. Step 3: Cross multiply
    389,430x = 568,827 × 568,827
  4. Step 4: Simplify right side
    389,430x = 323,564,155,929
  5. Step 5: Solve for x
    x = 323,564,155,929/389,430
  6. Step 6: Final answer
    x = 830,866.02

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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.