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Finding the Third Proportional to 128,973 and 172,011

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Solution

The third proportional to 128,973 and 172,011 is: 229,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,973 : 172,011 = 172,011 : x
  2. Step 2: Convert to fraction form
    128,973/172,011 = 172,011/x
  3. Step 3: Cross multiply
    128,973x = 172,011 × 172,011
  4. Step 4: Simplify right side
    128,973x = 29,587,784,121
  5. Step 5: Solve for x
    x = 29,587,784,121/128,973
  6. Step 6: Final answer
    x = 229,410.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.