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Finding the Third Proportional to 257,754 and 389,466

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Solution

The third proportional to 257,754 and 389,466 is: 588,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,754 : 389,466 = 389,466 : x
  2. Step 2: Convert to fraction form
    257,754/389,466 = 389,466/x
  3. Step 3: Cross multiply
    257,754x = 389,466 × 389,466
  4. Step 4: Simplify right side
    257,754x = 151,683,765,156
  5. Step 5: Solve for x
    x = 151,683,765,156/257,754
  6. Step 6: Final answer
    x = 588,482.68

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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.