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Finding the Third Proportional to 172,988 and 221,043

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Solution

The third proportional to 172,988 and 221,043 is: 282,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,988 : 221,043 = 221,043 : x
  2. Step 2: Convert to fraction form
    172,988/221,043 = 221,043/x
  3. Step 3: Cross multiply
    172,988x = 221,043 × 221,043
  4. Step 4: Simplify right side
    172,988x = 48,860,007,849
  5. Step 5: Solve for x
    x = 48,860,007,849/172,988
  6. Step 6: Final answer
    x = 282,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.