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Finding the Third Proportional to 297,378,970.50 and 644,173,125

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Solution

The third proportional to 297,378,970.50 and 644,173,125 is: 1,395,387,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378,970.50 : 644,173,125 = 644,173,125 : x
  2. Step 2: Convert to fraction form
    297,378,970.50/644,173,125 = 644,173,125/x
  3. Step 3: Cross multiply
    297,378,970.50x = 644,173,125 × 644,173,125
  4. Step 4: Simplify right side
    297,378,970.50x = 414,959,014,972,265,600
  5. Step 5: Solve for x
    x = 414,959,014,972,265,600/297,378,970.50
  6. Step 6: Final answer
    x = 1,395,387,892.68

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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.