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Finding the Third Proportional to 122,512,938 and 189,792,783

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Solution

The third proportional to 122,512,938 and 189,792,783 is: 294,020,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,512,938 : 189,792,783 = 189,792,783 : x
  2. Step 2: Convert to fraction form
    122,512,938/189,792,783 = 189,792,783/x
  3. Step 3: Cross multiply
    122,512,938x = 189,792,783 × 189,792,783
  4. Step 4: Simplify right side
    122,512,938x = 36,021,300,478,885,088
  5. Step 5: Solve for x
    x = 36,021,300,478,885,088/122,512,938
  6. Step 6: Final answer
    x = 294,020,379.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.