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Finding the Third Proportional to 577,530 and 1,287,712.69

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Solution

The third proportional to 577,530 and 1,287,712.69 is: 2,871,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,530 : 1,287,712.69 = 1,287,712.69 : x
  2. Step 2: Convert to fraction form
    577,530/1,287,712.69 = 1,287,712.69/x
  3. Step 3: Cross multiply
    577,530x = 1,287,712.69 × 1,287,712.69
  4. Step 4: Simplify right side
    577,530x = 1,658,203,965,548.47
  5. Step 5: Solve for x
    x = 1,658,203,965,548.47/577,530
  6. Step 6: Final answer
    x = 2,871,199.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.