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Finding the Third Proportional to 152,172 and 219,192.75

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Solution

The third proportional to 152,172 and 219,192.75 is: 315,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,172 : 219,192.75 = 219,192.75 : x
  2. Step 2: Convert to fraction form
    152,172/219,192.75 = 219,192.75/x
  3. Step 3: Cross multiply
    152,172x = 219,192.75 × 219,192.75
  4. Step 4: Simplify right side
    152,172x = 48,045,461,652.56
  5. Step 5: Solve for x
    x = 48,045,461,652.56/152,172
  6. Step 6: Final answer
    x = 315,731.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.