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Finding the Third Proportional to 292,148 and 621,964

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Solution

The third proportional to 292,148 and 621,964 is: 1,324,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,148 : 621,964 = 621,964 : x
  2. Step 2: Convert to fraction form
    292,148/621,964 = 621,964/x
  3. Step 3: Cross multiply
    292,148x = 621,964 × 621,964
  4. Step 4: Simplify right side
    292,148x = 386,839,217,296
  5. Step 5: Solve for x
    x = 386,839,217,296/292,148
  6. Step 6: Final answer
    x = 1,324,120.71

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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.