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Finding the Third Proportional to 162,187 and 258,270

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Solution

The third proportional to 162,187 and 258,270 is: 411,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,187 : 258,270 = 258,270 : x
  2. Step 2: Convert to fraction form
    162,187/258,270 = 258,270/x
  3. Step 3: Cross multiply
    162,187x = 258,270 × 258,270
  4. Step 4: Simplify right side
    162,187x = 66,703,392,900
  5. Step 5: Solve for x
    x = 66,703,392,900/162,187
  6. Step 6: Final answer
    x = 411,274.60

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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.