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Finding the Third Proportional to 872,128,682.02 and 1,340,524,850.77

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Solution

The third proportional to 872,128,682.02 and 1,340,524,850.77 is: 2,060,483,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,128,682.02 : 1,340,524,850.77 = 1,340,524,850.77 : x
  2. Step 2: Convert to fraction form
    872,128,682.02/1,340,524,850.77 = 1,340,524,850.77/x
  3. Step 3: Cross multiply
    872,128,682.02x = 1,340,524,850.77 × 1,340,524,850.77
  4. Step 4: Simplify right side
    872,128,682.02x = 1,797,006,875,520,134,144
  5. Step 5: Solve for x
    x = 1,797,006,875,520,134,144/872,128,682.02
  6. Step 6: Final answer
    x = 2,060,483,633.41

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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.