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Finding the Third Proportional to 197,666,397,102 and 278,357,844,303

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Solution

The third proportional to 197,666,397,102 and 278,357,844,303 is: 391,989,182,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666,397,102 : 278,357,844,303 = 278,357,844,303 : x
  2. Step 2: Convert to fraction form
    197,666,397,102/278,357,844,303 = 278,357,844,303/x
  3. Step 3: Cross multiply
    197,666,397,102x = 278,357,844,303 × 278,357,844,303
  4. Step 4: Simplify right side
    197,666,397,102x = 77,483,089,485,013,194,899,456
  5. Step 5: Solve for x
    x = 77,483,089,485,013,194,899,456/197,666,397,102
  6. Step 6: Final answer
    x = 391,989,182,890.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.