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Finding the Third Proportional to 5,430,538 and 10,723,988

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Solution

The third proportional to 5,430,538 and 10,723,988 is: 21,177,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430,538 : 10,723,988 = 10,723,988 : x
  2. Step 2: Convert to fraction form
    5,430,538/10,723,988 = 10,723,988/x
  3. Step 3: Cross multiply
    5,430,538x = 10,723,988 × 10,723,988
  4. Step 4: Simplify right side
    5,430,538x = 115,003,918,624,144
  5. Step 5: Solve for x
    x = 115,003,918,624,144/5,430,538
  6. Step 6: Final answer
    x = 21,177,260.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.