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Finding the Third Proportional to 278,009 and 460,148

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Solution

The third proportional to 278,009 and 460,148 is: 761,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,009 : 460,148 = 460,148 : x
  2. Step 2: Convert to fraction form
    278,009/460,148 = 460,148/x
  3. Step 3: Cross multiply
    278,009x = 460,148 × 460,148
  4. Step 4: Simplify right side
    278,009x = 211,736,181,904
  5. Step 5: Solve for x
    x = 211,736,181,904/278,009
  6. Step 6: Final answer
    x = 761,616.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.