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Finding the Third Proportional to 254,634 and 553,078

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Solution

The third proportional to 254,634 and 553,078 is: 1,201,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,634 : 553,078 = 553,078 : x
  2. Step 2: Convert to fraction form
    254,634/553,078 = 553,078/x
  3. Step 3: Cross multiply
    254,634x = 553,078 × 553,078
  4. Step 4: Simplify right side
    254,634x = 305,895,274,084
  5. Step 5: Solve for x
    x = 305,895,274,084/254,634
  6. Step 6: Final answer
    x = 1,201,313.55

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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.