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Finding the Third Proportional to 258,774 and 565,822

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Solution

The third proportional to 258,774 and 565,822 is: 1,237,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,774 : 565,822 = 565,822 : x
  2. Step 2: Convert to fraction form
    258,774/565,822 = 565,822/x
  3. Step 3: Cross multiply
    258,774x = 565,822 × 565,822
  4. Step 4: Simplify right side
    258,774x = 320,154,535,684
  5. Step 5: Solve for x
    x = 320,154,535,684/258,774
  6. Step 6: Final answer
    x = 1,237,197.46

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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.