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Finding the Third Proportional to 207,362 and 312,945

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Solution

The third proportional to 207,362 and 312,945 is: 472,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362 : 312,945 = 312,945 : x
  2. Step 2: Convert to fraction form
    207,362/312,945 = 312,945/x
  3. Step 3: Cross multiply
    207,362x = 312,945 × 312,945
  4. Step 4: Simplify right side
    207,362x = 97,934,573,025
  5. Step 5: Solve for x
    x = 97,934,573,025/207,362
  6. Step 6: Final answer
    x = 472,287.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.