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Finding the Third Proportional to 277,164,840 and 429,017,161

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Solution

The third proportional to 277,164,840 and 429,017,161 is: 664,065,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164,840 : 429,017,161 = 429,017,161 : x
  2. Step 2: Convert to fraction form
    277,164,840/429,017,161 = 429,017,161/x
  3. Step 3: Cross multiply
    277,164,840x = 429,017,161 × 429,017,161
  4. Step 4: Simplify right side
    277,164,840x = 184,055,724,432,499,936
  5. Step 5: Solve for x
    x = 184,055,724,432,499,936/277,164,840
  6. Step 6: Final answer
    x = 664,065,919.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.