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Finding the Third Proportional to 577,760 and 1,288,292

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Solution

The third proportional to 577,760 and 1,288,292 is: 2,872,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,760 : 1,288,292 = 1,288,292 : x
  2. Step 2: Convert to fraction form
    577,760/1,288,292 = 1,288,292/x
  3. Step 3: Cross multiply
    577,760x = 1,288,292 × 1,288,292
  4. Step 4: Simplify right side
    577,760x = 1,659,696,277,264
  5. Step 5: Solve for x
    x = 1,659,696,277,264/577,760
  6. Step 6: Final answer
    x = 2,872,639.64

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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.