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Finding the Third Proportional to 256,166,783 and 551,238,838

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Solution

The third proportional to 256,166,783 and 551,238,838 is: 1,186,196,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166,783 : 551,238,838 = 551,238,838 : x
  2. Step 2: Convert to fraction form
    256,166,783/551,238,838 = 551,238,838/x
  3. Step 3: Cross multiply
    256,166,783x = 551,238,838 × 551,238,838
  4. Step 4: Simplify right side
    256,166,783x = 303,864,256,519,590,272
  5. Step 5: Solve for x
    x = 303,864,256,519,590,272/256,166,783
  6. Step 6: Final answer
    x = 1,186,196,949.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.