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Finding the Third Proportional to 147,274,221 and 320,405,718

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Solution

The third proportional to 147,274,221 and 320,405,718 is: 697,065,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274,221 : 320,405,718 = 320,405,718 : x
  2. Step 2: Convert to fraction form
    147,274,221/320,405,718 = 320,405,718/x
  3. Step 3: Cross multiply
    147,274,221x = 320,405,718 × 320,405,718
  4. Step 4: Simplify right side
    147,274,221x = 102,659,824,127,095,520
  5. Step 5: Solve for x
    x = 102,659,824,127,095,520/147,274,221
  6. Step 6: Final answer
    x = 697,065,809.82

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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.