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Finding the Third Proportional to 262,773 and 400,720

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Solution

The third proportional to 262,773 and 400,720 is: 611,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,773 : 400,720 = 400,720 : x
  2. Step 2: Convert to fraction form
    262,773/400,720 = 400,720/x
  3. Step 3: Cross multiply
    262,773x = 400,720 × 400,720
  4. Step 4: Simplify right side
    262,773x = 160,576,518,400
  5. Step 5: Solve for x
    x = 160,576,518,400/262,773
  6. Step 6: Final answer
    x = 611,084.54

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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.