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Finding the Third Proportional to 449,610.75 and 677,386.13

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Solution

The third proportional to 449,610.75 and 677,386.13 is: 1,020,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,610.75 : 677,386.13 = 677,386.13 : x
  2. Step 2: Convert to fraction form
    449,610.75/677,386.13 = 677,386.13/x
  3. Step 3: Cross multiply
    449,610.75x = 677,386.13 × 677,386.13
  4. Step 4: Simplify right side
    449,610.75x = 458,851,962,342.52
  5. Step 5: Solve for x
    x = 458,851,962,342.52/449,610.75
  6. Step 6: Final answer
    x = 1,020,553.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.