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Finding the Third Proportional to 389,250 and 807,660

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Solution

The third proportional to 389,250 and 807,660 is: 1,675,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,250 : 807,660 = 807,660 : x
  2. Step 2: Convert to fraction form
    389,250/807,660 = 807,660/x
  3. Step 3: Cross multiply
    389,250x = 807,660 × 807,660
  4. Step 4: Simplify right side
    389,250x = 652,314,675,600
  5. Step 5: Solve for x
    x = 652,314,675,600/389,250
  6. Step 6: Final answer
    x = 1,675,824.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.