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Finding the Third Proportional to 305,590.50 and 458,961.75

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Solution

The third proportional to 305,590.50 and 458,961.75 is: 689,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,590.50 : 458,961.75 = 458,961.75 : x
  2. Step 2: Convert to fraction form
    305,590.50/458,961.75 = 458,961.75/x
  3. Step 3: Cross multiply
    305,590.50x = 458,961.75 × 458,961.75
  4. Step 4: Simplify right side
    305,590.50x = 210,645,887,963.06
  5. Step 5: Solve for x
    x = 210,645,887,963.06/305,590.50
  6. Step 6: Final answer
    x = 689,307.71

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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.