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Finding the Third Proportional to 257,157 and 385,488

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Solution

The third proportional to 257,157 and 385,488 is: 577,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,157 : 385,488 = 385,488 : x
  2. Step 2: Convert to fraction form
    257,157/385,488 = 385,488/x
  3. Step 3: Cross multiply
    257,157x = 385,488 × 385,488
  4. Step 4: Simplify right side
    257,157x = 148,600,998,144
  5. Step 5: Solve for x
    x = 148,600,998,144/257,157
  6. Step 6: Final answer
    x = 577,860.99

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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.