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Finding the Third Proportional to 108,290 and 162,435

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Solution

The third proportional to 108,290 and 162,435 is: 243,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,290 : 162,435 = 162,435 : x
  2. Step 2: Convert to fraction form
    108,290/162,435 = 162,435/x
  3. Step 3: Cross multiply
    108,290x = 162,435 × 162,435
  4. Step 4: Simplify right side
    108,290x = 26,385,129,225
  5. Step 5: Solve for x
    x = 26,385,129,225/108,290
  6. Step 6: Final answer
    x = 243,652.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.