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Finding the Third Proportional to 123,035,602 and 290,437,138

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Solution

The third proportional to 123,035,602 and 290,437,138 is: 685,604,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,035,602 : 290,437,138 = 290,437,138 : x
  2. Step 2: Convert to fraction form
    123,035,602/290,437,138 = 290,437,138/x
  3. Step 3: Cross multiply
    123,035,602x = 290,437,138 × 290,437,138
  4. Step 4: Simplify right side
    123,035,602x = 84,353,731,129,631,040
  5. Step 5: Solve for x
    x = 84,353,731,129,631,040/123,035,602
  6. Step 6: Final answer
    x = 685,604,245.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.