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Finding the Third Proportional to 66,345 and 138,835.50

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Solution

The third proportional to 66,345 and 138,835.50 is: 290,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,345 : 138,835.50 = 138,835.50 : x
  2. Step 2: Convert to fraction form
    66,345/138,835.50 = 138,835.50/x
  3. Step 3: Cross multiply
    66,345x = 138,835.50 × 138,835.50
  4. Step 4: Simplify right side
    66,345x = 19,275,296,060.25
  5. Step 5: Solve for x
    x = 19,275,296,060.25/66,345
  6. Step 6: Final answer
    x = 290,531.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.