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Finding the Third Proportional to 61,705,586 and 128,194,109

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Solution

The third proportional to 61,705,586 and 128,194,109 is: 266,324,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,705,586 : 128,194,109 = 128,194,109 : x
  2. Step 2: Convert to fraction form
    61,705,586/128,194,109 = 128,194,109/x
  3. Step 3: Cross multiply
    61,705,586x = 128,194,109 × 128,194,109
  4. Step 4: Simplify right side
    61,705,586x = 16,433,729,582,303,880
  5. Step 5: Solve for x
    x = 16,433,729,582,303,880/61,705,586
  6. Step 6: Final answer
    x = 266,324,828.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.