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Finding the Third Proportional to 172,276 and 365,423

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Solution

The third proportional to 172,276 and 365,423 is: 775,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,276 : 365,423 = 365,423 : x
  2. Step 2: Convert to fraction form
    172,276/365,423 = 365,423/x
  3. Step 3: Cross multiply
    172,276x = 365,423 × 365,423
  4. Step 4: Simplify right side
    172,276x = 133,533,968,929
  5. Step 5: Solve for x
    x = 133,533,968,929/172,276
  6. Step 6: Final answer
    x = 775,116.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.