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Finding the Third Proportional to 215,585,728 and 331,374,264

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Solution

The third proportional to 215,585,728 and 331,374,264 is: 509,351,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,585,728 : 331,374,264 = 331,374,264 : x
  2. Step 2: Convert to fraction form
    215,585,728/331,374,264 = 331,374,264/x
  3. Step 3: Cross multiply
    215,585,728x = 331,374,264 × 331,374,264
  4. Step 4: Simplify right side
    215,585,728x = 109,808,902,841,541,696
  5. Step 5: Solve for x
    x = 109,808,902,841,541,696/215,585,728
  6. Step 6: Final answer
    x = 509,351,448.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.