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Finding the Third Proportional to 66,679.31 and 145,341.56

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Solution

The third proportional to 66,679.31 and 145,341.56 is: 316,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,679.31 : 145,341.56 = 145,341.56 : x
  2. Step 2: Convert to fraction form
    66,679.31/145,341.56 = 145,341.56/x
  3. Step 3: Cross multiply
    66,679.31x = 145,341.56 × 145,341.56
  4. Step 4: Simplify right side
    66,679.31x = 21,124,169,789.94
  5. Step 5: Solve for x
    x = 21,124,169,789.94/66,679.31
  6. Step 6: Final answer
    x = 316,802.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.