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Finding the Third Proportional to 336,152 and 728,812

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Solution

The third proportional to 336,152 and 728,812 is: 1,580,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,152 : 728,812 = 728,812 : x
  2. Step 2: Convert to fraction form
    336,152/728,812 = 728,812/x
  3. Step 3: Cross multiply
    336,152x = 728,812 × 728,812
  4. Step 4: Simplify right side
    336,152x = 531,166,931,344
  5. Step 5: Solve for x
    x = 531,166,931,344/336,152
  6. Step 6: Final answer
    x = 1,580,139.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.