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Finding the Third Proportional to 258,658 and 565,412

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Solution

The third proportional to 258,658 and 565,412 is: 1,235,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,658 : 565,412 = 565,412 : x
  2. Step 2: Convert to fraction form
    258,658/565,412 = 565,412/x
  3. Step 3: Cross multiply
    258,658x = 565,412 × 565,412
  4. Step 4: Simplify right side
    258,658x = 319,690,729,744
  5. Step 5: Solve for x
    x = 319,690,729,744/258,658
  6. Step 6: Final answer
    x = 1,235,959.18

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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.