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Finding the Third Proportional to 254,599 and 558,121

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Solution

The third proportional to 254,599 and 558,121 is: 1,223,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,599 : 558,121 = 558,121 : x
  2. Step 2: Convert to fraction form
    254,599/558,121 = 558,121/x
  3. Step 3: Cross multiply
    254,599x = 558,121 × 558,121
  4. Step 4: Simplify right side
    254,599x = 311,499,050,641
  5. Step 5: Solve for x
    x = 311,499,050,641/254,599
  6. Step 6: Final answer
    x = 1,223,488.90

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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.