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Finding the Third Proportional to 421,913,975 and 908,630,229

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Solution

The third proportional to 421,913,975 and 908,630,229 is: 1,956,818,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,913,975 : 908,630,229 = 908,630,229 : x
  2. Step 2: Convert to fraction form
    421,913,975/908,630,229 = 908,630,229/x
  3. Step 3: Cross multiply
    421,913,975x = 908,630,229 × 908,630,229
  4. Step 4: Simplify right side
    421,913,975x = 825,608,893,052,592,384
  5. Step 5: Solve for x
    x = 825,608,893,052,592,384/421,913,975
  6. Step 6: Final answer
    x = 1,956,818,076.61

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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.