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Finding the Third Proportional to 297,571,968 and 640,742,400

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Solution

The third proportional to 297,571,968 and 640,742,400 is: 1,379,669,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,571,968 : 640,742,400 = 640,742,400 : x
  2. Step 2: Convert to fraction form
    297,571,968/640,742,400 = 640,742,400/x
  3. Step 3: Cross multiply
    297,571,968x = 640,742,400 × 640,742,400
  4. Step 4: Simplify right side
    297,571,968x = 410,550,823,157,760,000
  5. Step 5: Solve for x
    x = 410,550,823,157,760,000/297,571,968
  6. Step 6: Final answer
    x = 1,379,669,012.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.