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Finding the Third Proportional to 444,254.63 and 634,842.56

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Solution

The third proportional to 444,254.63 and 634,842.56 is: 907,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,254.63 : 634,842.56 = 634,842.56 : x
  2. Step 2: Convert to fraction form
    444,254.63/634,842.56 = 634,842.56/x
  3. Step 3: Cross multiply
    444,254.63x = 634,842.56 × 634,842.56
  4. Step 4: Simplify right side
    444,254.63x = 403,025,079,161.57
  5. Step 5: Solve for x
    x = 403,025,079,161.57/444,254.63
  6. Step 6: Final answer
    x = 907,193.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.