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Finding the Third Proportional to 323,246 and 687,964

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Solution

The third proportional to 323,246 and 687,964 is: 1,464,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,246 : 687,964 = 687,964 : x
  2. Step 2: Convert to fraction form
    323,246/687,964 = 687,964/x
  3. Step 3: Cross multiply
    323,246x = 687,964 × 687,964
  4. Step 4: Simplify right side
    323,246x = 473,294,465,296
  5. Step 5: Solve for x
    x = 473,294,465,296/323,246
  6. Step 6: Final answer
    x = 1,464,192.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.