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Finding the Third Proportional to 253,516.50 and 389,707.88

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Solution

The third proportional to 253,516.50 and 389,707.88 is: 599,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,516.50 : 389,707.88 = 389,707.88 : x
  2. Step 2: Convert to fraction form
    253,516.50/389,707.88 = 389,707.88/x
  3. Step 3: Cross multiply
    253,516.50x = 389,707.88 × 389,707.88
  4. Step 4: Simplify right side
    253,516.50x = 151,872,227,837.02
  5. Step 5: Solve for x
    x = 151,872,227,837.02/253,516.50
  6. Step 6: Final answer
    x = 599,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.