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Finding the Third Proportional to 312,018 and 736,305

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Solution

The third proportional to 312,018 and 736,305 is: 1,737,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,018 : 736,305 = 736,305 : x
  2. Step 2: Convert to fraction form
    312,018/736,305 = 736,305/x
  3. Step 3: Cross multiply
    312,018x = 736,305 × 736,305
  4. Step 4: Simplify right side
    312,018x = 542,145,053,025
  5. Step 5: Solve for x
    x = 542,145,053,025/312,018
  6. Step 6: Final answer
    x = 1,737,544.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.