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Finding the Third Proportional to 434,661.75 and 638,968.13

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Solution

The third proportional to 434,661.75 and 638,968.13 is: 939,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,661.75 : 638,968.13 = 638,968.13 : x
  2. Step 2: Convert to fraction form
    434,661.75/638,968.13 = 638,968.13/x
  3. Step 3: Cross multiply
    434,661.75x = 638,968.13 × 638,968.13
  4. Step 4: Simplify right side
    434,661.75x = 408,280,264,766.02
  5. Step 5: Solve for x
    x = 408,280,264,766.02/434,661.75
  6. Step 6: Final answer
    x = 939,305.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.