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Finding the Third Proportional to 512,356,029.75 and 787,178,395.13

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Solution

The third proportional to 512,356,029.75 and 787,178,395.13 is: 1,209,412,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,356,029.75 : 787,178,395.13 = 787,178,395.13 : x
  2. Step 2: Convert to fraction form
    512,356,029.75/787,178,395.13 = 787,178,395.13/x
  3. Step 3: Cross multiply
    512,356,029.75x = 787,178,395.13 × 787,178,395.13
  4. Step 4: Simplify right side
    512,356,029.75x = 619,649,825,751,570,560
  5. Step 5: Solve for x
    x = 619,649,825,751,570,560/512,356,029.75
  6. Step 6: Final answer
    x = 1,209,412,575.97

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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.