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Finding the Third Proportional to 443,443.78 and 685,113.19

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Solution

The third proportional to 443,443.78 and 685,113.19 is: 1,058,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,443.78 : 685,113.19 = 685,113.19 : x
  2. Step 2: Convert to fraction form
    443,443.78/685,113.19 = 685,113.19/x
  3. Step 3: Cross multiply
    443,443.78x = 685,113.19 × 685,113.19
  4. Step 4: Simplify right side
    443,443.78x = 469,380,079,686.41
  5. Step 5: Solve for x
    x = 469,380,079,686.41/443,443.78
  6. Step 6: Final answer
    x = 1,058,488.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.