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Finding the Third Proportional to 172,343 and 364,557

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Solution

The third proportional to 172,343 and 364,557 is: 771,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,343 : 364,557 = 364,557 : x
  2. Step 2: Convert to fraction form
    172,343/364,557 = 364,557/x
  3. Step 3: Cross multiply
    172,343x = 364,557 × 364,557
  4. Step 4: Simplify right side
    172,343x = 132,901,806,249
  5. Step 5: Solve for x
    x = 132,901,806,249/172,343
  6. Step 6: Final answer
    x = 771,147.11

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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.