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Finding the Third Proportional to 361,919,940.75 and 781,235,462.25

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Solution

The third proportional to 361,919,940.75 and 781,235,462.25 is: 1,686,364,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,919,940.75 : 781,235,462.25 = 781,235,462.25 : x
  2. Step 2: Convert to fraction form
    361,919,940.75/781,235,462.25 = 781,235,462.25/x
  3. Step 3: Cross multiply
    361,919,940.75x = 781,235,462.25 × 781,235,462.25
  4. Step 4: Simplify right side
    361,919,940.75x = 610,328,847,476,971,136
  5. Step 5: Solve for x
    x = 610,328,847,476,971,136/361,919,940.75
  6. Step 6: Final answer
    x = 1,686,364,244.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.