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Finding the Third Proportional to 106,378,538 and 232,935,064

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Solution

The third proportional to 106,378,538 and 232,935,064 is: 510,053,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378,538 : 232,935,064 = 232,935,064 : x
  2. Step 2: Convert to fraction form
    106,378,538/232,935,064 = 232,935,064/x
  3. Step 3: Cross multiply
    106,378,538x = 232,935,064 × 232,935,064
  4. Step 4: Simplify right side
    106,378,538x = 54,258,744,040,684,096
  5. Step 5: Solve for x
    x = 54,258,744,040,684,096/106,378,538
  6. Step 6: Final answer
    x = 510,053,485.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.