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Finding the Third Proportional to 144,311,632 and 315,085,212

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Solution

The third proportional to 144,311,632 and 315,085,212 is: 687,946,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,311,632 : 315,085,212 = 315,085,212 : x
  2. Step 2: Convert to fraction form
    144,311,632/315,085,212 = 315,085,212/x
  3. Step 3: Cross multiply
    144,311,632x = 315,085,212 × 315,085,212
  4. Step 4: Simplify right side
    144,311,632x = 99,278,690,821,084,944
  5. Step 5: Solve for x
    x = 99,278,690,821,084,944/144,311,632
  6. Step 6: Final answer
    x = 687,946,560.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.