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Finding the Third Proportional to 152,986 and 220,343

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Solution

The third proportional to 152,986 and 220,343 is: 317,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,986 : 220,343 = 220,343 : x
  2. Step 2: Convert to fraction form
    152,986/220,343 = 220,343/x
  3. Step 3: Cross multiply
    152,986x = 220,343 × 220,343
  4. Step 4: Simplify right side
    152,986x = 48,551,037,649
  5. Step 5: Solve for x
    x = 48,551,037,649/152,986
  6. Step 6: Final answer
    x = 317,356.08

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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.