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Finding the Third Proportional to 202,161,876 and 312,768,420

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Solution

The third proportional to 202,161,876 and 312,768,420 is: 483,889,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161,876 : 312,768,420 = 312,768,420 : x
  2. Step 2: Convert to fraction form
    202,161,876/312,768,420 = 312,768,420/x
  3. Step 3: Cross multiply
    202,161,876x = 312,768,420 × 312,768,420
  4. Step 4: Simplify right side
    202,161,876x = 97,824,084,549,296,400
  5. Step 5: Solve for x
    x = 97,824,084,549,296,400/202,161,876
  6. Step 6: Final answer
    x = 483,889,873.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.