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Finding the Third Proportional to 172,138,133.81 and 371,478,993.75

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Solution

The third proportional to 172,138,133.81 and 371,478,993.75 is: 801,662,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,138,133.81 : 371,478,993.75 = 371,478,993.75 : x
  2. Step 2: Convert to fraction form
    172,138,133.81/371,478,993.75 = 371,478,993.75/x
  3. Step 3: Cross multiply
    172,138,133.81x = 371,478,993.75 × 371,478,993.75
  4. Step 4: Simplify right side
    172,138,133.81x = 137,996,642,797,512,544
  5. Step 5: Solve for x
    x = 137,996,642,797,512,544/172,138,133.81
  6. Step 6: Final answer
    x = 801,662,244.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.