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Finding the Third Proportional to 872,140,434 and 1,340,540,243

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Solution

The third proportional to 872,140,434 and 1,340,540,243 is: 2,060,503,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,434 : 1,340,540,243 = 1,340,540,243 : x
  2. Step 2: Convert to fraction form
    872,140,434/1,340,540,243 = 1,340,540,243/x
  3. Step 3: Cross multiply
    872,140,434x = 1,340,540,243 × 1,340,540,243
  4. Step 4: Simplify right side
    872,140,434x = 1,797,048,143,102,499,072
  5. Step 5: Solve for x
    x = 1,797,048,143,102,499,072/872,140,434
  6. Step 6: Final answer
    x = 2,060,503,186.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.