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Finding the Third Proportional to 387,645,978 and 850,611,420

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Solution

The third proportional to 387,645,978 and 850,611,420 is: 1,866,496,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,978 : 850,611,420 = 850,611,420 : x
  2. Step 2: Convert to fraction form
    387,645,978/850,611,420 = 850,611,420/x
  3. Step 3: Cross multiply
    387,645,978x = 850,611,420 × 850,611,420
  4. Step 4: Simplify right side
    387,645,978x = 723,539,787,834,416,384
  5. Step 5: Solve for x
    x = 723,539,787,834,416,384/387,645,978
  6. Step 6: Final answer
    x = 1,866,496,310.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.