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Finding the Third Proportional to 255,230 and 559,540

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Solution

The third proportional to 255,230 and 559,540 is: 1,226,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,230 : 559,540 = 559,540 : x
  2. Step 2: Convert to fraction form
    255,230/559,540 = 559,540/x
  3. Step 3: Cross multiply
    255,230x = 559,540 × 559,540
  4. Step 4: Simplify right side
    255,230x = 313,085,011,600
  5. Step 5: Solve for x
    x = 313,085,011,600/255,230
  6. Step 6: Final answer
    x = 1,226,677.94

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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.