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Finding the Third Proportional to 212,978,976 and 304,351,920

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Solution

The third proportional to 212,978,976 and 304,351,920 is: 434,925,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,978,976 : 304,351,920 = 304,351,920 : x
  2. Step 2: Convert to fraction form
    212,978,976/304,351,920 = 304,351,920/x
  3. Step 3: Cross multiply
    212,978,976x = 304,351,920 × 304,351,920
  4. Step 4: Simplify right side
    212,978,976x = 92,630,091,207,686,400
  5. Step 5: Solve for x
    x = 92,630,091,207,686,400/212,978,976
  6. Step 6: Final answer
    x = 434,925,986.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.