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Finding the Third Proportional to 257,658 and 389,313

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Solution

The third proportional to 257,658 and 389,313 is: 588,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,658 : 389,313 = 389,313 : x
  2. Step 2: Convert to fraction form
    257,658/389,313 = 389,313/x
  3. Step 3: Cross multiply
    257,658x = 389,313 × 389,313
  4. Step 4: Simplify right side
    257,658x = 151,564,611,969
  5. Step 5: Solve for x
    x = 151,564,611,969/257,658
  6. Step 6: Final answer
    x = 588,239.50

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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.