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Finding the Third Proportional to 264,518 and 402,311

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Solution

The third proportional to 264,518 and 402,311 is: 611,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,518 : 402,311 = 402,311 : x
  2. Step 2: Convert to fraction form
    264,518/402,311 = 402,311/x
  3. Step 3: Cross multiply
    264,518x = 402,311 × 402,311
  4. Step 4: Simplify right side
    264,518x = 161,854,140,721
  5. Step 5: Solve for x
    x = 161,854,140,721/264,518
  6. Step 6: Final answer
    x = 611,883.28

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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.