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Finding the Third Proportional to 133,568,151 and 201,403,345

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Solution

The third proportional to 133,568,151 and 201,403,345 is: 303,689,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568,151 : 201,403,345 = 201,403,345 : x
  2. Step 2: Convert to fraction form
    133,568,151/201,403,345 = 201,403,345/x
  3. Step 3: Cross multiply
    133,568,151x = 201,403,345 × 201,403,345
  4. Step 4: Simplify right side
    133,568,151x = 40,563,307,377,189,024
  5. Step 5: Solve for x
    x = 40,563,307,377,189,024/133,568,151
  6. Step 6: Final answer
    x = 303,689,967.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.