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Finding the Third Proportional to 1,741,427,376 and 3,788,948,365.50

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Solution

The third proportional to 1,741,427,376 and 3,788,948,365.50 is: 8,243,886,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,427,376 : 3,788,948,365.50 = 3,788,948,365.50 : x
  2. Step 2: Convert to fraction form
    1,741,427,376/3,788,948,365.50 = 3,788,948,365.50/x
  3. Step 3: Cross multiply
    1,741,427,376x = 3,788,948,365.50 × 3,788,948,365.50
  4. Step 4: Simplify right side
    1,741,427,376x = 14,356,129,716,425,121,792
  5. Step 5: Solve for x
    x = 14,356,129,716,425,121,792/1,741,427,376
  6. Step 6: Final answer
    x = 8,243,886,546.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.