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Finding the Third Proportional to 262,305 and 429,390.75

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Solution

The third proportional to 262,305 and 429,390.75 is: 702,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,305 : 429,390.75 = 429,390.75 : x
  2. Step 2: Convert to fraction form
    262,305/429,390.75 = 429,390.75/x
  3. Step 3: Cross multiply
    262,305x = 429,390.75 × 429,390.75
  4. Step 4: Simplify right side
    262,305x = 184,376,416,185.56
  5. Step 5: Solve for x
    x = 184,376,416,185.56/262,305
  6. Step 6: Final answer
    x = 702,908.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.