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Finding the Third Proportional to 300,533 and 634,600

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Solution

The third proportional to 300,533 and 634,600 is: 1,340,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,533 : 634,600 = 634,600 : x
  2. Step 2: Convert to fraction form
    300,533/634,600 = 634,600/x
  3. Step 3: Cross multiply
    300,533x = 634,600 × 634,600
  4. Step 4: Simplify right side
    300,533x = 402,717,160,000
  5. Step 5: Solve for x
    x = 402,717,160,000/300,533
  6. Step 6: Final answer
    x = 1,340,009.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.