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Finding the Third Proportional to 264,513 and 402,305

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Solution

The third proportional to 264,513 and 402,305 is: 611,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,513 : 402,305 = 402,305 : x
  2. Step 2: Convert to fraction form
    264,513/402,305 = 402,305/x
  3. Step 3: Cross multiply
    264,513x = 402,305 × 402,305
  4. Step 4: Simplify right side
    264,513x = 161,849,313,025
  5. Step 5: Solve for x
    x = 161,849,313,025/264,513
  6. Step 6: Final answer
    x = 611,876.59

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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.