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Finding the Third Proportional to 72,569,234,288 and 113,590,671,992

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Solution

The third proportional to 72,569,234,288 and 113,590,671,992 is: 177,800,425,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,569,234,288 : 113,590,671,992 = 113,590,671,992 : x
  2. Step 2: Convert to fraction form
    72,569,234,288/113,590,671,992 = 113,590,671,992/x
  3. Step 3: Cross multiply
    72,569,234,288x = 113,590,671,992 × 113,590,671,992
  4. Step 4: Simplify right side
    72,569,234,288x = 12,902,840,763,594,133,471,232
  5. Step 5: Solve for x
    x = 12,902,840,763,594,133,471,232/72,569,234,288
  6. Step 6: Final answer
    x = 177,800,425,899.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.