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Finding the Third Proportional to 152,756 and 334,888

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Solution

The third proportional to 152,756 and 334,888 is: 734,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,756 : 334,888 = 334,888 : x
  2. Step 2: Convert to fraction form
    152,756/334,888 = 334,888/x
  3. Step 3: Cross multiply
    152,756x = 334,888 × 334,888
  4. Step 4: Simplify right side
    152,756x = 112,149,972,544
  5. Step 5: Solve for x
    x = 112,149,972,544/152,756
  6. Step 6: Final answer
    x = 734,177.20

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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.