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Finding the Third Proportional to 404,280.38 and 634,190.63

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Solution

The third proportional to 404,280.38 and 634,190.63 is: 994,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,280.38 : 634,190.63 = 634,190.63 : x
  2. Step 2: Convert to fraction form
    404,280.38/634,190.63 = 634,190.63/x
  3. Step 3: Cross multiply
    404,280.38x = 634,190.63 × 634,190.63
  4. Step 4: Simplify right side
    404,280.38x = 402,197,748,837.89
  5. Step 5: Solve for x
    x = 402,197,748,837.89/404,280.38
  6. Step 6: Final answer
    x = 994,848.56

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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.