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Finding the Third Proportional to 388,212.75 and 851,127.75

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Solution

The third proportional to 388,212.75 and 851,127.75 is: 1,866,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,212.75 : 851,127.75 = 851,127.75 : x
  2. Step 2: Convert to fraction form
    388,212.75/851,127.75 = 851,127.75/x
  3. Step 3: Cross multiply
    388,212.75x = 851,127.75 × 851,127.75
  4. Step 4: Simplify right side
    388,212.75x = 724,418,446,820.06
  5. Step 5: Solve for x
    x = 724,418,446,820.06/388,212.75
  6. Step 6: Final answer
    x = 1,866,034.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.