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Finding the Third Proportional to 254,583 and 558,090

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Solution

The third proportional to 254,583 and 558,090 is: 1,223,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,583 : 558,090 = 558,090 : x
  2. Step 2: Convert to fraction form
    254,583/558,090 = 558,090/x
  3. Step 3: Cross multiply
    254,583x = 558,090 × 558,090
  4. Step 4: Simplify right side
    254,583x = 311,464,448,100
  5. Step 5: Solve for x
    x = 311,464,448,100/254,583
  6. Step 6: Final answer
    x = 1,223,429.88

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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.