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Finding the Third Proportional to 353,128,309 and 551,149,394

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Solution

The third proportional to 353,128,309 and 551,149,394 is: 860,213,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,128,309 : 551,149,394 = 551,149,394 : x
  2. Step 2: Convert to fraction form
    353,128,309/551,149,394 = 551,149,394/x
  3. Step 3: Cross multiply
    353,128,309x = 551,149,394 × 551,149,394
  4. Step 4: Simplify right side
    353,128,309x = 303,765,654,506,567,232
  5. Step 5: Solve for x
    x = 303,765,654,506,567,232/353,128,309
  6. Step 6: Final answer
    x = 860,213,261.77

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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.