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Finding the Third Proportional to 315,320 and 729,224

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Solution

The third proportional to 315,320 and 729,224 is: 1,686,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,320 : 729,224 = 729,224 : x
  2. Step 2: Convert to fraction form
    315,320/729,224 = 729,224/x
  3. Step 3: Cross multiply
    315,320x = 729,224 × 729,224
  4. Step 4: Simplify right side
    315,320x = 531,767,642,176
  5. Step 5: Solve for x
    x = 531,767,642,176/315,320
  6. Step 6: Final answer
    x = 1,686,438.04

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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.