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Finding the Third Proportional to 309,677.25 and 458,759.25

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Solution

The third proportional to 309,677.25 and 458,759.25 is: 679,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,677.25 : 458,759.25 = 458,759.25 : x
  2. Step 2: Convert to fraction form
    309,677.25/458,759.25 = 458,759.25/x
  3. Step 3: Cross multiply
    309,677.25x = 458,759.25 × 458,759.25
  4. Step 4: Simplify right side
    309,677.25x = 210,460,049,460.56
  5. Step 5: Solve for x
    x = 210,460,049,460.56/309,677.25
  6. Step 6: Final answer
    x = 679,610.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.