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Finding the Third Proportional to 262,640 and 407,460

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Solution

The third proportional to 262,640 and 407,460 is: 632,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,640 : 407,460 = 407,460 : x
  2. Step 2: Convert to fraction form
    262,640/407,460 = 407,460/x
  3. Step 3: Cross multiply
    262,640x = 407,460 × 407,460
  4. Step 4: Simplify right side
    262,640x = 166,023,651,600
  5. Step 5: Solve for x
    x = 166,023,651,600/262,640
  6. Step 6: Final answer
    x = 632,133.92

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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.