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Finding the Third Proportional to 376,388 and 807,352

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Solution

The third proportional to 376,388 and 807,352 is: 1,731,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,388 : 807,352 = 807,352 : x
  2. Step 2: Convert to fraction form
    376,388/807,352 = 807,352/x
  3. Step 3: Cross multiply
    376,388x = 807,352 × 807,352
  4. Step 4: Simplify right side
    376,388x = 651,817,251,904
  5. Step 5: Solve for x
    x = 651,817,251,904/376,388
  6. Step 6: Final answer
    x = 1,731,769.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.