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Finding the Third Proportional to 315,322 and 729,229

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Solution

The third proportional to 315,322 and 729,229 is: 1,686,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,322 : 729,229 = 729,229 : x
  2. Step 2: Convert to fraction form
    315,322/729,229 = 729,229/x
  3. Step 3: Cross multiply
    315,322x = 729,229 × 729,229
  4. Step 4: Simplify right side
    315,322x = 531,774,934,441
  5. Step 5: Solve for x
    x = 531,774,934,441/315,322
  6. Step 6: Final answer
    x = 1,686,450.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.