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Finding the Third Proportional to 178,650 and 242,615

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Solution

The third proportional to 178,650 and 242,615 is: 329,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,650 : 242,615 = 242,615 : x
  2. Step 2: Convert to fraction form
    178,650/242,615 = 242,615/x
  3. Step 3: Cross multiply
    178,650x = 242,615 × 242,615
  4. Step 4: Simplify right side
    178,650x = 58,862,038,225
  5. Step 5: Solve for x
    x = 58,862,038,225/178,650
  6. Step 6: Final answer
    x = 329,482.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.