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Finding the Third Proportional to 103,695,406 and 222,181,534

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Solution

The third proportional to 103,695,406 and 222,181,534 is: 476,054,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695,406 : 222,181,534 = 222,181,534 : x
  2. Step 2: Convert to fraction form
    103,695,406/222,181,534 = 222,181,534/x
  3. Step 3: Cross multiply
    103,695,406x = 222,181,534 × 222,181,534
  4. Step 4: Simplify right side
    103,695,406x = 49,364,634,050,593,152
  5. Step 5: Solve for x
    x = 49,364,634,050,593,152/103,695,406
  6. Step 6: Final answer
    x = 476,054,204.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.