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Finding the Third Proportional to 257,192 and 385,536

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Solution

The third proportional to 257,192 and 385,536 is: 577,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,192 : 385,536 = 385,536 : x
  2. Step 2: Convert to fraction form
    257,192/385,536 = 385,536/x
  3. Step 3: Cross multiply
    257,192x = 385,536 × 385,536
  4. Step 4: Simplify right side
    257,192x = 148,638,007,296
  5. Step 5: Solve for x
    x = 148,638,007,296/257,192
  6. Step 6: Final answer
    x = 577,926.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.