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Finding the Third Proportional to 872,140,431 and 1,340,540,236.50

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Solution

The third proportional to 872,140,431 and 1,340,540,236.50 is: 2,060,503,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,431 : 1,340,540,236.50 = 1,340,540,236.50 : x
  2. Step 2: Convert to fraction form
    872,140,431/1,340,540,236.50 = 1,340,540,236.50/x
  3. Step 3: Cross multiply
    872,140,431x = 1,340,540,236.50 × 1,340,540,236.50
  4. Step 4: Simplify right side
    872,140,431x = 1,797,048,125,675,475,968
  5. Step 5: Solve for x
    x = 1,797,048,125,675,475,968/872,140,431
  6. Step 6: Final answer
    x = 2,060,503,173.34

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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.