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Finding the Third Proportional to 172,312 and 365,464

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Solution

The third proportional to 172,312 and 365,464 is: 775,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,312 : 365,464 = 365,464 : x
  2. Step 2: Convert to fraction form
    172,312/365,464 = 365,464/x
  3. Step 3: Cross multiply
    172,312x = 365,464 × 365,464
  4. Step 4: Simplify right side
    172,312x = 133,563,935,296
  5. Step 5: Solve for x
    x = 133,563,935,296/172,312
  6. Step 6: Final answer
    x = 775,128.46

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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.