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Finding the Third Proportional to 815,021,007.75 and 1,270,958,941.13

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Solution

The third proportional to 815,021,007.75 and 1,270,958,941.13 is: 1,981,957,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,021,007.75 : 1,270,958,941.13 = 1,270,958,941.13 : x
  2. Step 2: Convert to fraction form
    815,021,007.75/1,270,958,941.13 = 1,270,958,941.13/x
  3. Step 3: Cross multiply
    815,021,007.75x = 1,270,958,941.13 × 1,270,958,941.13
  4. Step 4: Simplify right side
    815,021,007.75x = 1,615,336,630,025,581,312
  5. Step 5: Solve for x
    x = 1,615,336,630,025,581,312/815,021,007.75
  6. Step 6: Final answer
    x = 1,981,957,047.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.