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Finding the Third Proportional to 968,476,014 and 1,358,963,770.50

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Solution

The third proportional to 968,476,014 and 1,358,963,770.50 is: 1,906,895,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,476,014 : 1,358,963,770.50 = 1,358,963,770.50 : x
  2. Step 2: Convert to fraction form
    968,476,014/1,358,963,770.50 = 1,358,963,770.50/x
  3. Step 3: Cross multiply
    968,476,014x = 1,358,963,770.50 × 1,358,963,770.50
  4. Step 4: Simplify right side
    968,476,014x = 1,846,782,529,531,576,576
  5. Step 5: Solve for x
    x = 1,846,782,529,531,576,576/968,476,014
  6. Step 6: Final answer
    x = 1,906,895,475.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.