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Finding the Third Proportional to 143,670,408.75 and 221,872,471.31

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Solution

The third proportional to 143,670,408.75 and 221,872,471.31 is: 342,641,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,670,408.75 : 221,872,471.31 = 221,872,471.31 : x
  2. Step 2: Convert to fraction form
    143,670,408.75/221,872,471.31 = 221,872,471.31/x
  3. Step 3: Cross multiply
    143,670,408.75x = 221,872,471.31 × 221,872,471.31
  4. Step 4: Simplify right side
    143,670,408.75x = 49,227,393,526,316,136
  5. Step 5: Solve for x
    x = 49,227,393,526,316,136/143,670,408.75
  6. Step 6: Final answer
    x = 342,641,146.18

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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.