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Finding the Third Proportional to 387,645,980 and 850,611,424

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Solution

The third proportional to 387,645,980 and 850,611,424 is: 1,866,496,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,980 : 850,611,424 = 850,611,424 : x
  2. Step 2: Convert to fraction form
    387,645,980/850,611,424 = 850,611,424/x
  3. Step 3: Cross multiply
    387,645,980x = 850,611,424 × 850,611,424
  4. Step 4: Simplify right side
    387,645,980x = 723,539,794,639,307,776
  5. Step 5: Solve for x
    x = 723,539,794,639,307,776/387,645,980
  6. Step 6: Final answer
    x = 1,866,496,318.73

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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.