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Finding the Third Proportional to 258,660 and 565,416

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Solution

The third proportional to 258,660 and 565,416 is: 1,235,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,660 : 565,416 = 565,416 : x
  2. Step 2: Convert to fraction form
    258,660/565,416 = 565,416/x
  3. Step 3: Cross multiply
    258,660x = 565,416 × 565,416
  4. Step 4: Simplify right side
    258,660x = 319,695,253,056
  5. Step 5: Solve for x
    x = 319,695,253,056/258,660
  6. Step 6: Final answer
    x = 1,235,967.11

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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.