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Finding the Third Proportional to 262,126 and 398,053

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Solution

The third proportional to 262,126 and 398,053 is: 604,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,126 : 398,053 = 398,053 : x
  2. Step 2: Convert to fraction form
    262,126/398,053 = 398,053/x
  3. Step 3: Cross multiply
    262,126x = 398,053 × 398,053
  4. Step 4: Simplify right side
    262,126x = 158,446,190,809
  5. Step 5: Solve for x
    x = 158,446,190,809/262,126
  6. Step 6: Final answer
    x = 604,465.76

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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.