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Finding the Third Proportional to 172,303 and 251,771

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Solution

The third proportional to 172,303 and 251,771 is: 367,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,303 : 251,771 = 251,771 : x
  2. Step 2: Convert to fraction form
    172,303/251,771 = 251,771/x
  3. Step 3: Cross multiply
    172,303x = 251,771 × 251,771
  4. Step 4: Simplify right side
    172,303x = 63,388,636,441
  5. Step 5: Solve for x
    x = 63,388,636,441/172,303
  6. Step 6: Final answer
    x = 367,890.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.