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Finding the Third Proportional to 261,873 and 558,090

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Solution

The third proportional to 261,873 and 558,090 is: 1,189,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,873 : 558,090 = 558,090 : x
  2. Step 2: Convert to fraction form
    261,873/558,090 = 558,090/x
  3. Step 3: Cross multiply
    261,873x = 558,090 × 558,090
  4. Step 4: Simplify right side
    261,873x = 311,464,448,100
  5. Step 5: Solve for x
    x = 311,464,448,100/261,873
  6. Step 6: Final answer
    x = 1,189,372.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.