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Finding the Third Proportional to 66,837.49 and 148,618.69

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Solution

The third proportional to 66,837.49 and 148,618.69 is: 330,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,837.49 : 148,618.69 = 148,618.69 : x
  2. Step 2: Convert to fraction form
    66,837.49/148,618.69 = 148,618.69/x
  3. Step 3: Cross multiply
    66,837.49x = 148,618.69 × 148,618.69
  4. Step 4: Simplify right side
    66,837.49x = 22,087,514,274.22
  5. Step 5: Solve for x
    x = 22,087,514,274.22/66,837.49
  6. Step 6: Final answer
    x = 330,465.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.