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Finding the Third Proportional to 323,146 and 661,964

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Solution

The third proportional to 323,146 and 661,964 is: 1,356,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,146 : 661,964 = 661,964 : x
  2. Step 2: Convert to fraction form
    323,146/661,964 = 661,964/x
  3. Step 3: Cross multiply
    323,146x = 661,964 × 661,964
  4. Step 4: Simplify right side
    323,146x = 438,196,337,296
  5. Step 5: Solve for x
    x = 438,196,337,296/323,146
  6. Step 6: Final answer
    x = 1,356,032.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.