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Finding the Third Proportional to 407,171.25 and 634,025.25

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Solution

The third proportional to 407,171.25 and 634,025.25 is: 987,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,171.25 : 634,025.25 = 634,025.25 : x
  2. Step 2: Convert to fraction form
    407,171.25/634,025.25 = 634,025.25/x
  3. Step 3: Cross multiply
    407,171.25x = 634,025.25 × 634,025.25
  4. Step 4: Simplify right side
    407,171.25x = 401,988,017,637.56
  5. Step 5: Solve for x
    x = 401,988,017,637.56/407,171.25
  6. Step 6: Final answer
    x = 987,270.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.