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Finding the Third Proportional to 304,660 and 486,510

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Solution

The third proportional to 304,660 and 486,510 is: 776,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,660 : 486,510 = 486,510 : x
  2. Step 2: Convert to fraction form
    304,660/486,510 = 486,510/x
  3. Step 3: Cross multiply
    304,660x = 486,510 × 486,510
  4. Step 4: Simplify right side
    304,660x = 236,691,980,100
  5. Step 5: Solve for x
    x = 236,691,980,100/304,660
  6. Step 6: Final answer
    x = 776,905.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.