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Finding the Third Proportional to 146,699.86 and 213,129.98

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Solution

The third proportional to 146,699.86 and 213,129.98 is: 309,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,699.86 : 213,129.98 = 213,129.98 : x
  2. Step 2: Convert to fraction form
    146,699.86/213,129.98 = 213,129.98/x
  3. Step 3: Cross multiply
    146,699.86x = 213,129.98 × 213,129.98
  4. Step 4: Simplify right side
    146,699.86x = 45,424,390,239.69
  5. Step 5: Solve for x
    x = 45,424,390,239.69/146,699.86
  6. Step 6: Final answer
    x = 309,641.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.