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Finding the Third Proportional to 264,153 and 401,280

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Solution

The third proportional to 264,153 and 401,280 is: 609,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,153 : 401,280 = 401,280 : x
  2. Step 2: Convert to fraction form
    264,153/401,280 = 401,280/x
  3. Step 3: Cross multiply
    264,153x = 401,280 × 401,280
  4. Step 4: Simplify right side
    264,153x = 161,025,638,400
  5. Step 5: Solve for x
    x = 161,025,638,400/264,153
  6. Step 6: Final answer
    x = 609,592.31

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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.