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Finding the Third Proportional to 545,906 and 872,015

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Solution

The third proportional to 545,906 and 872,015 is: 1,392,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,906 : 872,015 = 872,015 : x
  2. Step 2: Convert to fraction form
    545,906/872,015 = 872,015/x
  3. Step 3: Cross multiply
    545,906x = 872,015 × 872,015
  4. Step 4: Simplify right side
    545,906x = 760,410,160,225
  5. Step 5: Solve for x
    x = 760,410,160,225/545,906
  6. Step 6: Final answer
    x = 1,392,932.41

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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.