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Finding the Third Proportional to 298,915,500 and 646,959,606

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Solution

The third proportional to 298,915,500 and 646,959,606 is: 1,400,251,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,915,500 : 646,959,606 = 646,959,606 : x
  2. Step 2: Convert to fraction form
    298,915,500/646,959,606 = 646,959,606/x
  3. Step 3: Cross multiply
    298,915,500x = 646,959,606 × 646,959,606
  4. Step 4: Simplify right side
    298,915,500x = 418,556,731,795,675,264
  5. Step 5: Solve for x
    x = 418,556,731,795,675,264/298,915,500
  6. Step 6: Final answer
    x = 1,400,251,013.40

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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.