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Finding the Third Proportional to 143,345,178 and 221,354,721

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Solution

The third proportional to 143,345,178 and 221,354,721 is: 341,817,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,345,178 : 221,354,721 = 221,354,721 : x
  2. Step 2: Convert to fraction form
    143,345,178/221,354,721 = 221,354,721/x
  3. Step 3: Cross multiply
    143,345,178x = 221,354,721 × 221,354,721
  4. Step 4: Simplify right side
    143,345,178x = 48,997,912,508,987,840
  5. Step 5: Solve for x
    x = 48,997,912,508,987,840/143,345,178
  6. Step 6: Final answer
    x = 341,817,654.37

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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.