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Finding the Third Proportional to 344,043,574,212 and 478,365,089,625

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Solution

The third proportional to 344,043,574,212 and 478,365,089,625 is: 665,128,420,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,043,574,212 : 478,365,089,625 = 478,365,089,625 : x
  2. Step 2: Convert to fraction form
    344,043,574,212/478,365,089,625 = 478,365,089,625/x
  3. Step 3: Cross multiply
    344,043,574,212x = 478,365,089,625 × 478,365,089,625
  4. Step 4: Simplify right side
    344,043,574,212x = 228,833,158,971,934,298,341,376
  5. Step 5: Solve for x
    x = 228,833,158,971,934,298,341,376/344,043,574,212
  6. Step 6: Final answer
    x = 665,128,420,131.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.