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Finding the Third Proportional to 162,840 and 258,468

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Solution

The third proportional to 162,840 and 258,468 is: 410,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,840 : 258,468 = 258,468 : x
  2. Step 2: Convert to fraction form
    162,840/258,468 = 258,468/x
  3. Step 3: Cross multiply
    162,840x = 258,468 × 258,468
  4. Step 4: Simplify right side
    162,840x = 66,805,707,024
  5. Step 5: Solve for x
    x = 66,805,707,024/162,840
  6. Step 6: Final answer
    x = 410,253.67

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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.