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Finding the Third Proportional to 257,640 and 408,852

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Solution

The third proportional to 257,640 and 408,852 is: 648,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,640 : 408,852 = 408,852 : x
  2. Step 2: Convert to fraction form
    257,640/408,852 = 408,852/x
  3. Step 3: Cross multiply
    257,640x = 408,852 × 408,852
  4. Step 4: Simplify right side
    257,640x = 167,159,957,904
  5. Step 5: Solve for x
    x = 167,159,957,904/257,640
  6. Step 6: Final answer
    x = 648,812.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.