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Finding the Third Proportional to 254,623 and 558,210

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Solution

The third proportional to 254,623 and 558,210 is: 1,223,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,623 : 558,210 = 558,210 : x
  2. Step 2: Convert to fraction form
    254,623/558,210 = 558,210/x
  3. Step 3: Cross multiply
    254,623x = 558,210 × 558,210
  4. Step 4: Simplify right side
    254,623x = 311,598,404,100
  5. Step 5: Solve for x
    x = 311,598,404,100/254,623
  6. Step 6: Final answer
    x = 1,223,763.78

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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.