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Finding the Third Proportional to 124,490 and 189,615

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Solution

The third proportional to 124,490 and 189,615 is: 288,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,490 : 189,615 = 189,615 : x
  2. Step 2: Convert to fraction form
    124,490/189,615 = 189,615/x
  3. Step 3: Cross multiply
    124,490x = 189,615 × 189,615
  4. Step 4: Simplify right side
    124,490x = 35,953,848,225
  5. Step 5: Solve for x
    x = 35,953,848,225/124,490
  6. Step 6: Final answer
    x = 288,809.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.