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Finding the Third Proportional to 257,156 and 385,482

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Solution

The third proportional to 257,156 and 385,482 is: 577,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,156 : 385,482 = 385,482 : x
  2. Step 2: Convert to fraction form
    257,156/385,482 = 385,482/x
  3. Step 3: Cross multiply
    257,156x = 385,482 × 385,482
  4. Step 4: Simplify right side
    257,156x = 148,596,372,324
  5. Step 5: Solve for x
    x = 148,596,372,324/257,156
  6. Step 6: Final answer
    x = 577,845.25

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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.