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Finding the Third Proportional to 162,852 and 258,489

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Solution

The third proportional to 162,852 and 258,489 is: 410,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,852 : 258,489 = 258,489 : x
  2. Step 2: Convert to fraction form
    162,852/258,489 = 258,489/x
  3. Step 3: Cross multiply
    162,852x = 258,489 × 258,489
  4. Step 4: Simplify right side
    162,852x = 66,816,563,121
  5. Step 5: Solve for x
    x = 66,816,563,121/162,852
  6. Step 6: Final answer
    x = 410,290.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.