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Finding the Third Proportional to 207,680 and 312,912

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Solution

The third proportional to 207,680 and 312,912 is: 471,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,680 : 312,912 = 312,912 : x
  2. Step 2: Convert to fraction form
    207,680/312,912 = 312,912/x
  3. Step 3: Cross multiply
    207,680x = 312,912 × 312,912
  4. Step 4: Simplify right side
    207,680x = 97,913,919,744
  5. Step 5: Solve for x
    x = 97,913,919,744/207,680
  6. Step 6: Final answer
    x = 471,465.33

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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.