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Finding the Third Proportional to 152,971 and 220,323

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Solution

The third proportional to 152,971 and 220,323 is: 317,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,971 : 220,323 = 220,323 : x
  2. Step 2: Convert to fraction form
    152,971/220,323 = 220,323/x
  3. Step 3: Cross multiply
    152,971x = 220,323 × 220,323
  4. Step 4: Simplify right side
    152,971x = 48,542,224,329
  5. Step 5: Solve for x
    x = 48,542,224,329/152,971
  6. Step 6: Final answer
    x = 317,329.59

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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.