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Finding the Third Proportional to 265,038 and 393,957

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Solution

The third proportional to 265,038 and 393,957 is: 585,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,038 : 393,957 = 393,957 : x
  2. Step 2: Convert to fraction form
    265,038/393,957 = 393,957/x
  3. Step 3: Cross multiply
    265,038x = 393,957 × 393,957
  4. Step 4: Simplify right side
    265,038x = 155,202,117,849
  5. Step 5: Solve for x
    x = 155,202,117,849/265,038
  6. Step 6: Final answer
    x = 585,584.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.