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Finding the Third Proportional to 415,541.07 and 909,902.43

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Solution

The third proportional to 415,541.07 and 909,902.43 is: 1,992,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,541.07 : 909,902.43 = 909,902.43 : x
  2. Step 2: Convert to fraction form
    415,541.07/909,902.43 = 909,902.43/x
  3. Step 3: Cross multiply
    415,541.07x = 909,902.43 × 909,902.43
  4. Step 4: Simplify right side
    415,541.07x = 827,922,424,442.60
  5. Step 5: Solve for x
    x = 827,922,424,442.60/415,541.07
  6. Step 6: Final answer
    x = 1,992,396.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.