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Finding the Third Proportional to 147,274,218 and 320,405,712

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Solution

The third proportional to 147,274,218 and 320,405,712 is: 697,065,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274,218 : 320,405,712 = 320,405,712 : x
  2. Step 2: Convert to fraction form
    147,274,218/320,405,712 = 320,405,712/x
  3. Step 3: Cross multiply
    147,274,218x = 320,405,712 × 320,405,712
  4. Step 4: Simplify right side
    147,274,218x = 102,659,820,282,226,944
  5. Step 5: Solve for x
    x = 102,659,820,282,226,944/147,274,218
  6. Step 6: Final answer
    x = 697,065,797.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.