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Finding the Third Proportional to 305,464.50 and 658,237.50

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Solution

The third proportional to 305,464.50 and 658,237.50 is: 1,418,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,464.50 : 658,237.50 = 658,237.50 : x
  2. Step 2: Convert to fraction form
    305,464.50/658,237.50 = 658,237.50/x
  3. Step 3: Cross multiply
    305,464.50x = 658,237.50 × 658,237.50
  4. Step 4: Simplify right side
    305,464.50x = 433,276,606,406.25
  5. Step 5: Solve for x
    x = 433,276,606,406.25/305,464.50
  6. Step 6: Final answer
    x = 1,418,418.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.