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Finding the Third Proportional to 152,988 and 220,346

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Solution

The third proportional to 152,988 and 220,346 is: 317,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988 : 220,346 = 220,346 : x
  2. Step 2: Convert to fraction form
    152,988/220,346 = 220,346/x
  3. Step 3: Cross multiply
    152,988x = 220,346 × 220,346
  4. Step 4: Simplify right side
    152,988x = 48,552,359,716
  5. Step 5: Solve for x
    x = 48,552,359,716/152,988
  6. Step 6: Final answer
    x = 317,360.58

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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.