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Finding the Third Proportional to 128,219 and 172,918

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Solution

The third proportional to 128,219 and 172,918 is: 233,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,219 : 172,918 = 172,918 : x
  2. Step 2: Convert to fraction form
    128,219/172,918 = 172,918/x
  3. Step 3: Cross multiply
    128,219x = 172,918 × 172,918
  4. Step 4: Simplify right side
    128,219x = 29,900,634,724
  5. Step 5: Solve for x
    x = 29,900,634,724/128,219
  6. Step 6: Final answer
    x = 233,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.