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Finding the Third Proportional to 143,345,270 and 221,354,847

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Solution

The third proportional to 143,345,270 and 221,354,847 is: 341,817,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,345,270 : 221,354,847 = 221,354,847 : x
  2. Step 2: Convert to fraction form
    143,345,270/221,354,847 = 221,354,847/x
  3. Step 3: Cross multiply
    143,345,270x = 221,354,847 × 221,354,847
  4. Step 4: Simplify right side
    143,345,270x = 48,997,968,290,393,408
  5. Step 5: Solve for x
    x = 48,997,968,290,393,408/143,345,270
  6. Step 6: Final answer
    x = 341,817,824.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.