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Finding the Third Proportional to 258,778 and 565,830

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Solution

The third proportional to 258,778 and 565,830 is: 1,237,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,778 : 565,830 = 565,830 : x
  2. Step 2: Convert to fraction form
    258,778/565,830 = 565,830/x
  3. Step 3: Cross multiply
    258,778x = 565,830 × 565,830
  4. Step 4: Simplify right side
    258,778x = 320,163,588,900
  5. Step 5: Solve for x
    x = 320,163,588,900/258,778
  6. Step 6: Final answer
    x = 1,237,213.32

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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.