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Finding the Third Proportional to 2,145,222 and 3,147,702.75

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Solution

The third proportional to 2,145,222 and 3,147,702.75 is: 4,618,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,222 : 3,147,702.75 = 3,147,702.75 : x
  2. Step 2: Convert to fraction form
    2,145,222/3,147,702.75 = 3,147,702.75/x
  3. Step 3: Cross multiply
    2,145,222x = 3,147,702.75 × 3,147,702.75
  4. Step 4: Simplify right side
    2,145,222x = 9,908,032,602,357.56
  5. Step 5: Solve for x
    x = 9,908,032,602,357.56/2,145,222
  6. Step 6: Final answer
    x = 4,618,651.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.