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Finding the Third Proportional to 545,902 and 872,009

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Solution

The third proportional to 545,902 and 872,009 is: 1,392,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,902 : 872,009 = 872,009 : x
  2. Step 2: Convert to fraction form
    545,902/872,009 = 872,009/x
  3. Step 3: Cross multiply
    545,902x = 872,009 × 872,009
  4. Step 4: Simplify right side
    545,902x = 760,399,696,081
  5. Step 5: Solve for x
    x = 760,399,696,081/545,902
  6. Step 6: Final answer
    x = 1,392,923.45

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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.