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Finding the Third Proportional to 342,305 and 763,316

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Solution

The third proportional to 342,305 and 763,316 is: 1,702,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,305 : 763,316 = 763,316 : x
  2. Step 2: Convert to fraction form
    342,305/763,316 = 763,316/x
  3. Step 3: Cross multiply
    342,305x = 763,316 × 763,316
  4. Step 4: Simplify right side
    342,305x = 582,651,315,856
  5. Step 5: Solve for x
    x = 582,651,315,856/342,305
  6. Step 6: Final answer
    x = 1,702,140.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.