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Finding the Third Proportional to 404,291.25 and 634,206.38

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Solution

The third proportional to 404,291.25 and 634,206.38 is: 994,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,291.25 : 634,206.38 = 634,206.38 : x
  2. Step 2: Convert to fraction form
    404,291.25/634,206.38 = 634,206.38/x
  3. Step 3: Cross multiply
    404,291.25x = 634,206.38 × 634,206.38
  4. Step 4: Simplify right side
    404,291.25x = 402,217,726,090.64
  5. Step 5: Solve for x
    x = 402,217,726,090.64/404,291.25
  6. Step 6: Final answer
    x = 994,871.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.