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Finding the Third Proportional to 195,010.35 and 309,430.60

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Solution

The third proportional to 195,010.35 and 309,430.60 is: 490,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,010.35 : 309,430.60 = 309,430.60 : x
  2. Step 2: Convert to fraction form
    195,010.35/309,430.60 = 309,430.60/x
  3. Step 3: Cross multiply
    195,010.35x = 309,430.60 × 309,430.60
  4. Step 4: Simplify right side
    195,010.35x = 95,747,295,974.62
  5. Step 5: Solve for x
    x = 95,747,295,974.62/195,010.35
  6. Step 6: Final answer
    x = 490,985.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.