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Finding the Third Proportional to 13,450,254 and 21,412,455

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Solution

The third proportional to 13,450,254 and 21,412,455 is: 34,088,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,254 : 21,412,455 = 21,412,455 : x
  2. Step 2: Convert to fraction form
    13,450,254/21,412,455 = 21,412,455/x
  3. Step 3: Cross multiply
    13,450,254x = 21,412,455 × 21,412,455
  4. Step 4: Simplify right side
    13,450,254x = 458,493,229,127,025
  5. Step 5: Solve for x
    x = 458,493,229,127,025/13,450,254
  6. Step 6: Final answer
    x = 34,088,072.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.