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Finding the Third Proportional to 255,121 and 558,580

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Solution

The third proportional to 255,121 and 558,580 is: 1,222,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,121 : 558,580 = 558,580 : x
  2. Step 2: Convert to fraction form
    255,121/558,580 = 558,580/x
  3. Step 3: Cross multiply
    255,121x = 558,580 × 558,580
  4. Step 4: Simplify right side
    255,121x = 312,011,616,400
  5. Step 5: Solve for x
    x = 312,011,616,400/255,121
  6. Step 6: Final answer
    x = 1,222,994.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.