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Finding the Third Proportional to 386,216 and 807,752

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Solution

The third proportional to 386,216 and 807,752 is: 1,689,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,216 : 807,752 = 807,752 : x
  2. Step 2: Convert to fraction form
    386,216/807,752 = 807,752/x
  3. Step 3: Cross multiply
    386,216x = 807,752 × 807,752
  4. Step 4: Simplify right side
    386,216x = 652,463,293,504
  5. Step 5: Solve for x
    x = 652,463,293,504/386,216
  6. Step 6: Final answer
    x = 1,689,374.06

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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.