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Finding the Third Proportional to 318,618,576.75 and 492,077,755.50

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Solution

The third proportional to 318,618,576.75 and 492,077,755.50 is: 759,969,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,618,576.75 : 492,077,755.50 = 492,077,755.50 : x
  2. Step 2: Convert to fraction form
    318,618,576.75/492,077,755.50 = 492,077,755.50/x
  3. Step 3: Cross multiply
    318,618,576.75x = 492,077,755.50 × 492,077,755.50
  4. Step 4: Simplify right side
    318,618,576.75x = 242,140,517,457,917,792
  5. Step 5: Solve for x
    x = 242,140,517,457,917,792/318,618,576.75
  6. Step 6: Final answer
    x = 759,969,867.19

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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.