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Finding the Third Proportional to 330,496 and 712,512

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Solution

The third proportional to 330,496 and 712,512 is: 1,536,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,496 : 712,512 = 712,512 : x
  2. Step 2: Convert to fraction form
    330,496/712,512 = 712,512/x
  3. Step 3: Cross multiply
    330,496x = 712,512 × 712,512
  4. Step 4: Simplify right side
    330,496x = 507,673,350,144
  5. Step 5: Solve for x
    x = 507,673,350,144/330,496
  6. Step 6: Final answer
    x = 1,536,095.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.