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Finding the Third Proportional to 458,933.34 and 645,137.16

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Solution

The third proportional to 458,933.34 and 645,137.16 is: 906,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,933.34 : 645,137.16 = 645,137.16 : x
  2. Step 2: Convert to fraction form
    458,933.34/645,137.16 = 645,137.16/x
  3. Step 3: Cross multiply
    458,933.34x = 645,137.16 × 645,137.16
  4. Step 4: Simplify right side
    458,933.34x = 416,201,950,374.34
  5. Step 5: Solve for x
    x = 416,201,950,374.34/458,933.34
  6. Step 6: Final answer
    x = 906,889.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.