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Finding the Third Proportional to 371,928 and 763,458

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Solution

The third proportional to 371,928 and 763,458 is: 1,567,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,928 : 763,458 = 763,458 : x
  2. Step 2: Convert to fraction form
    371,928/763,458 = 763,458/x
  3. Step 3: Cross multiply
    371,928x = 763,458 × 763,458
  4. Step 4: Simplify right side
    371,928x = 582,868,117,764
  5. Step 5: Solve for x
    x = 582,868,117,764/371,928
  6. Step 6: Final answer
    x = 1,567,153.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.