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Finding the Third Proportional to 255,840 and 408,720

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Solution

The third proportional to 255,840 and 408,720 is: 652,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,840 : 408,720 = 408,720 : x
  2. Step 2: Convert to fraction form
    255,840/408,720 = 408,720/x
  3. Step 3: Cross multiply
    255,840x = 408,720 × 408,720
  4. Step 4: Simplify right side
    255,840x = 167,052,038,400
  5. Step 5: Solve for x
    x = 167,052,038,400/255,840
  6. Step 6: Final answer
    x = 652,955.12

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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.