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Finding the Third Proportional to 292,804 and 639,148

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Solution

The third proportional to 292,804 and 639,148 is: 1,395,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,804 : 639,148 = 639,148 : x
  2. Step 2: Convert to fraction form
    292,804/639,148 = 639,148/x
  3. Step 3: Cross multiply
    292,804x = 639,148 × 639,148
  4. Step 4: Simplify right side
    292,804x = 408,510,165,904
  5. Step 5: Solve for x
    x = 408,510,165,904/292,804
  6. Step 6: Final answer
    x = 1,395,165.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.