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Finding the Third Proportional to 260,311,714.50 and 345,472,219.50

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Solution

The third proportional to 260,311,714.50 and 345,472,219.50 is: 458,492,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,311,714.50 : 345,472,219.50 = 345,472,219.50 : x
  2. Step 2: Convert to fraction form
    260,311,714.50/345,472,219.50 = 345,472,219.50/x
  3. Step 3: Cross multiply
    260,311,714.50x = 345,472,219.50 × 345,472,219.50
  4. Step 4: Simplify right side
    260,311,714.50x = 119,351,054,446,256,176
  5. Step 5: Solve for x
    x = 119,351,054,446,256,176/260,311,714.50
  6. Step 6: Final answer
    x = 458,492,829.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.