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Finding the Third Proportional to 297,378,918 and 644,173,038

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Solution

The third proportional to 297,378,918 and 644,173,038 is: 1,395,387,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378,918 : 644,173,038 = 644,173,038 : x
  2. Step 2: Convert to fraction form
    297,378,918/644,173,038 = 644,173,038/x
  3. Step 3: Cross multiply
    297,378,918x = 644,173,038 × 644,173,038
  4. Step 4: Simplify right side
    297,378,918x = 414,958,902,886,149,440
  5. Step 5: Solve for x
    x = 414,958,902,886,149,440/297,378,918
  6. Step 6: Final answer
    x = 1,395,387,762.11

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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.