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Finding the Third Proportional to 257,501 and 393,911

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Solution

The third proportional to 257,501 and 393,911 is: 602,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,501 : 393,911 = 393,911 : x
  2. Step 2: Convert to fraction form
    257,501/393,911 = 393,911/x
  3. Step 3: Cross multiply
    257,501x = 393,911 × 393,911
  4. Step 4: Simplify right side
    257,501x = 155,165,875,921
  5. Step 5: Solve for x
    x = 155,165,875,921/257,501
  6. Step 6: Final answer
    x = 602,583.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.