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Finding the Third Proportional to 255,850 and 408,735

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Solution

The third proportional to 255,850 and 408,735 is: 652,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,850 : 408,735 = 408,735 : x
  2. Step 2: Convert to fraction form
    255,850/408,735 = 408,735/x
  3. Step 3: Cross multiply
    255,850x = 408,735 × 408,735
  4. Step 4: Simplify right side
    255,850x = 167,064,300,225
  5. Step 5: Solve for x
    x = 167,064,300,225/255,850
  6. Step 6: Final answer
    x = 652,977.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.