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Finding the Third Proportional to 634,908 and 862,272

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Solution

The third proportional to 634,908 and 862,272 is: 1,171,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,908 : 862,272 = 862,272 : x
  2. Step 2: Convert to fraction form
    634,908/862,272 = 862,272/x
  3. Step 3: Cross multiply
    634,908x = 862,272 × 862,272
  4. Step 4: Simplify right side
    634,908x = 743,513,001,984
  5. Step 5: Solve for x
    x = 743,513,001,984/634,908
  6. Step 6: Final answer
    x = 1,171,056.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.