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Finding the Third Proportional to 148,837.50 and 213,536.25

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Solution

The third proportional to 148,837.50 and 213,536.25 is: 306,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,837.50 : 213,536.25 = 213,536.25 : x
  2. Step 2: Convert to fraction form
    148,837.50/213,536.25 = 213,536.25/x
  3. Step 3: Cross multiply
    148,837.50x = 213,536.25 × 213,536.25
  4. Step 4: Simplify right side
    148,837.50x = 45,597,730,064.06
  5. Step 5: Solve for x
    x = 45,597,730,064.06/148,837.50
  6. Step 6: Final answer
    x = 306,359.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.