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Finding the Third Proportional to 156,178 and 342,452

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Solution

The third proportional to 156,178 and 342,452 is: 750,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,178 : 342,452 = 342,452 : x
  2. Step 2: Convert to fraction form
    156,178/342,452 = 342,452/x
  3. Step 3: Cross multiply
    156,178x = 342,452 × 342,452
  4. Step 4: Simplify right side
    156,178x = 117,273,372,304
  5. Step 5: Solve for x
    x = 117,273,372,304/156,178
  6. Step 6: Final answer
    x = 750,895.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.