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Finding the Third Proportional to 386,220 and 807,754

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Solution

The third proportional to 386,220 and 807,754 is: 1,689,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,220 : 807,754 = 807,754 : x
  2. Step 2: Convert to fraction form
    386,220/807,754 = 807,754/x
  3. Step 3: Cross multiply
    386,220x = 807,754 × 807,754
  4. Step 4: Simplify right side
    386,220x = 652,466,524,516
  5. Step 5: Solve for x
    x = 652,466,524,516/386,220
  6. Step 6: Final answer
    x = 1,689,364.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.