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Finding the Third Proportional to 642,918.33 and 881,616.15

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Solution

The third proportional to 642,918.33 and 881,616.15 is: 1,208,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,918.33 : 881,616.15 = 881,616.15 : x
  2. Step 2: Convert to fraction form
    642,918.33/881,616.15 = 881,616.15/x
  3. Step 3: Cross multiply
    642,918.33x = 881,616.15 × 881,616.15
  4. Step 4: Simplify right side
    642,918.33x = 777,247,043,786.24
  5. Step 5: Solve for x
    x = 777,247,043,786.24/642,918.33
  6. Step 6: Final answer
    x = 1,208,935.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.