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Finding the Third Proportional to 124,290 and 186,435

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Solution

The third proportional to 124,290 and 186,435 is: 279,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,290 : 186,435 = 186,435 : x
  2. Step 2: Convert to fraction form
    124,290/186,435 = 186,435/x
  3. Step 3: Cross multiply
    124,290x = 186,435 × 186,435
  4. Step 4: Simplify right side
    124,290x = 34,758,009,225
  5. Step 5: Solve for x
    x = 34,758,009,225/124,290
  6. Step 6: Final answer
    x = 279,652.50

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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.