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Finding the Third Proportional to 305,584.50 and 458,953.50

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Solution

The third proportional to 305,584.50 and 458,953.50 is: 689,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,584.50 : 458,953.50 = 458,953.50 : x
  2. Step 2: Convert to fraction form
    305,584.50/458,953.50 = 458,953.50/x
  3. Step 3: Cross multiply
    305,584.50x = 458,953.50 × 458,953.50
  4. Step 4: Simplify right side
    305,584.50x = 210,638,315,162.25
  5. Step 5: Solve for x
    x = 210,638,315,162.25/305,584.50
  6. Step 6: Final answer
    x = 689,296.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.