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Finding the Third Proportional to 389,089,520 and 607,190,380

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Solution

The third proportional to 389,089,520 and 607,190,380 is: 947,545,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,089,520 : 607,190,380 = 607,190,380 : x
  2. Step 2: Convert to fraction form
    389,089,520/607,190,380 = 607,190,380/x
  3. Step 3: Cross multiply
    389,089,520x = 607,190,380 × 607,190,380
  4. Step 4: Simplify right side
    389,089,520x = 368,680,157,564,544,384
  5. Step 5: Solve for x
    x = 368,680,157,564,544,384/389,089,520
  6. Step 6: Final answer
    x = 947,545,843.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.