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Finding the Third Proportional to 545,910 and 872,021

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Solution

The third proportional to 545,910 and 872,021 is: 1,392,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,910 : 872,021 = 872,021 : x
  2. Step 2: Convert to fraction form
    545,910/872,021 = 872,021/x
  3. Step 3: Cross multiply
    545,910x = 872,021 × 872,021
  4. Step 4: Simplify right side
    545,910x = 760,420,624,441
  5. Step 5: Solve for x
    x = 760,420,624,441/545,910
  6. Step 6: Final answer
    x = 1,392,941.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.