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Finding the Third Proportional to 297,405,684 and 644,220,072

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Solution

The third proportional to 297,405,684 and 644,220,072 is: 1,395,465,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405,684 : 644,220,072 = 644,220,072 : x
  2. Step 2: Convert to fraction form
    297,405,684/644,220,072 = 644,220,072/x
  3. Step 3: Cross multiply
    297,405,684x = 644,220,072 × 644,220,072
  4. Step 4: Simplify right side
    297,405,684x = 415,019,501,167,685,184
  5. Step 5: Solve for x
    x = 415,019,501,167,685,184/297,405,684
  6. Step 6: Final answer
    x = 1,395,465,935.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.