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Finding the Third Proportional to 201,214,720 and 431,114,144

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Solution

The third proportional to 201,214,720 and 431,114,144 is: 923,686,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214,720 : 431,114,144 = 431,114,144 : x
  2. Step 2: Convert to fraction form
    201,214,720/431,114,144 = 431,114,144/x
  3. Step 3: Cross multiply
    201,214,720x = 431,114,144 × 431,114,144
  4. Step 4: Simplify right side
    201,214,720x = 185,859,405,156,852,736
  5. Step 5: Solve for x
    x = 185,859,405,156,852,736/201,214,720
  6. Step 6: Final answer
    x = 923,686,920.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.