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Finding the Third Proportional to 155,536 and 219,178

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Solution

The third proportional to 155,536 and 219,178 is: 308,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 219,178 = 219,178 : x
  2. Step 2: Convert to fraction form
    155,536/219,178 = 219,178/x
  3. Step 3: Cross multiply
    155,536x = 219,178 × 219,178
  4. Step 4: Simplify right side
    155,536x = 48,038,995,684
  5. Step 5: Solve for x
    x = 48,038,995,684/155,536
  6. Step 6: Final answer
    x = 308,860.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.