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Finding the Third Proportional to 380,286 and 807,219

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Solution

The third proportional to 380,286 and 807,219 is: 1,713,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,286 : 807,219 = 807,219 : x
  2. Step 2: Convert to fraction form
    380,286/807,219 = 807,219/x
  3. Step 3: Cross multiply
    380,286x = 807,219 × 807,219
  4. Step 4: Simplify right side
    380,286x = 651,602,513,961
  5. Step 5: Solve for x
    x = 651,602,513,961/380,286
  6. Step 6: Final answer
    x = 1,713,453.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.