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Finding the Third Proportional to 290,838 and 623,148

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Solution

The third proportional to 290,838 and 623,148 is: 1,335,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,838 : 623,148 = 623,148 : x
  2. Step 2: Convert to fraction form
    290,838/623,148 = 623,148/x
  3. Step 3: Cross multiply
    290,838x = 623,148 × 623,148
  4. Step 4: Simplify right side
    290,838x = 388,313,429,904
  5. Step 5: Solve for x
    x = 388,313,429,904/290,838
  6. Step 6: Final answer
    x = 1,335,153.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.