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Finding the Third Proportional to 407,177.25 and 634,034.25

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Solution

The third proportional to 407,177.25 and 634,034.25 is: 987,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,177.25 : 634,034.25 = 634,034.25 : x
  2. Step 2: Convert to fraction form
    407,177.25/634,034.25 = 634,034.25/x
  3. Step 3: Cross multiply
    407,177.25x = 634,034.25 × 634,034.25
  4. Step 4: Simplify right side
    407,177.25x = 401,999,430,173.06
  5. Step 5: Solve for x
    x = 401,999,430,173.06/407,177.25
  6. Step 6: Final answer
    x = 987,283.62

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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.