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Finding the Third Proportional to 30,672,735.75 and 67,117,513.78

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Solution

The third proportional to 30,672,735.75 and 67,117,513.78 is: 146,865,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672,735.75 : 67,117,513.78 = 67,117,513.78 : x
  2. Step 2: Convert to fraction form
    30,672,735.75/67,117,513.78 = 67,117,513.78/x
  3. Step 3: Cross multiply
    30,672,735.75x = 67,117,513.78 × 67,117,513.78
  4. Step 4: Simplify right side
    30,672,735.75x = 4,504,760,656,176,284
  5. Step 5: Solve for x
    x = 4,504,760,656,176,284/30,672,735.75
  6. Step 6: Final answer
    x = 146,865,303.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.