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Finding the Third Proportional to 207,364 and 312,948

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Solution

The third proportional to 207,364 and 312,948 is: 472,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 312,948 = 312,948 : x
  2. Step 2: Convert to fraction form
    207,364/312,948 = 312,948/x
  3. Step 3: Cross multiply
    207,364x = 312,948 × 312,948
  4. Step 4: Simplify right side
    207,364x = 97,936,450,704
  5. Step 5: Solve for x
    x = 97,936,450,704/207,364
  6. Step 6: Final answer
    x = 472,292.45

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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.