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Finding the Third Proportional to 646,909 and 926,326

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Solution

The third proportional to 646,909 and 926,326 is: 1,326,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,909 : 926,326 = 926,326 : x
  2. Step 2: Convert to fraction form
    646,909/926,326 = 926,326/x
  3. Step 3: Cross multiply
    646,909x = 926,326 × 926,326
  4. Step 4: Simplify right side
    646,909x = 858,079,858,276
  5. Step 5: Solve for x
    x = 858,079,858,276/646,909
  6. Step 6: Final answer
    x = 1,326,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.