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Finding the Third Proportional to 264,389 and 558,918

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Solution

The third proportional to 264,389 and 558,918 is: 1,181,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,389 : 558,918 = 558,918 : x
  2. Step 2: Convert to fraction form
    264,389/558,918 = 558,918/x
  3. Step 3: Cross multiply
    264,389x = 558,918 × 558,918
  4. Step 4: Simplify right side
    264,389x = 312,389,330,724
  5. Step 5: Solve for x
    x = 312,389,330,724/264,389
  6. Step 6: Final answer
    x = 1,181,551.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.