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Finding the Third Proportional to 262,216 and 398,160

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Solution

The third proportional to 262,216 and 398,160 is: 604,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,216 : 398,160 = 398,160 : x
  2. Step 2: Convert to fraction form
    262,216/398,160 = 398,160/x
  3. Step 3: Cross multiply
    262,216x = 398,160 × 398,160
  4. Step 4: Simplify right side
    262,216x = 158,531,385,600
  5. Step 5: Solve for x
    x = 158,531,385,600/262,216
  6. Step 6: Final answer
    x = 604,583.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.