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Finding the Third Proportional to 297,571,986 and 640,742,436

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Solution

The third proportional to 297,571,986 and 640,742,436 is: 1,379,669,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,571,986 : 640,742,436 = 640,742,436 : x
  2. Step 2: Convert to fraction form
    297,571,986/640,742,436 = 640,742,436/x
  3. Step 3: Cross multiply
    297,571,986x = 640,742,436 × 640,742,436
  4. Step 4: Simplify right side
    297,571,986x = 410,550,869,291,214,080
  5. Step 5: Solve for x
    x = 410,550,869,291,214,080/297,571,986
  6. Step 6: Final answer
    x = 1,379,669,083.81

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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.