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Finding the Third Proportional to 122,928,586,188 and 274,122,437,664

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Solution

The third proportional to 122,928,586,188 and 274,122,437,664 is: 611,274,506,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,928,586,188 : 274,122,437,664 = 274,122,437,664 : x
  2. Step 2: Convert to fraction form
    122,928,586,188/274,122,437,664 = 274,122,437,664/x
  3. Step 3: Cross multiply
    122,928,586,188x = 274,122,437,664 × 274,122,437,664
  4. Step 4: Simplify right side
    122,928,586,188x = 75,143,110,830,853,562,826,752
  5. Step 5: Solve for x
    x = 75,143,110,830,853,562,826,752/122,928,586,188
  6. Step 6: Final answer
    x = 611,274,506,288.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.