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Finding the Third Proportional to 10,021,045 and 21,459,268

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Solution

The third proportional to 10,021,045 and 21,459,268 is: 45,953,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021,045 : 21,459,268 = 21,459,268 : x
  2. Step 2: Convert to fraction form
    10,021,045/21,459,268 = 21,459,268/x
  3. Step 3: Cross multiply
    10,021,045x = 21,459,268 × 21,459,268
  4. Step 4: Simplify right side
    10,021,045x = 460,500,183,095,824
  5. Step 5: Solve for x
    x = 460,500,183,095,824/10,021,045
  6. Step 6: Final answer
    x = 45,953,309.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.