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Finding the Third Proportional to 255,622 and 553,560

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Solution

The third proportional to 255,622 and 553,560 is: 1,198,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,622 : 553,560 = 553,560 : x
  2. Step 2: Convert to fraction form
    255,622/553,560 = 553,560/x
  3. Step 3: Cross multiply
    255,622x = 553,560 × 553,560
  4. Step 4: Simplify right side
    255,622x = 306,428,673,600
  5. Step 5: Solve for x
    x = 306,428,673,600/255,622
  6. Step 6: Final answer
    x = 1,198,757.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.