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Finding the Third Proportional to 201,370 and 470,305

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Solution

The third proportional to 201,370 and 470,305 is: 1,098,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,370 : 470,305 = 470,305 : x
  2. Step 2: Convert to fraction form
    201,370/470,305 = 470,305/x
  3. Step 3: Cross multiply
    201,370x = 470,305 × 470,305
  4. Step 4: Simplify right side
    201,370x = 221,186,793,025
  5. Step 5: Solve for x
    x = 221,186,793,025/201,370
  6. Step 6: Final answer
    x = 1,098,409.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.