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Finding the Third Proportional to 166,457 and 257,454

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Solution

The third proportional to 166,457 and 257,454 is: 398,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,457 : 257,454 = 257,454 : x
  2. Step 2: Convert to fraction form
    166,457/257,454 = 257,454/x
  3. Step 3: Cross multiply
    166,457x = 257,454 × 257,454
  4. Step 4: Simplify right side
    166,457x = 66,282,562,116
  5. Step 5: Solve for x
    x = 66,282,562,116/166,457
  6. Step 6: Final answer
    x = 398,196.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.