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Finding the Third Proportional to 402,418.69 and 874,725.19

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Solution

The third proportional to 402,418.69 and 874,725.19 is: 1,901,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,418.69 : 874,725.19 = 874,725.19 : x
  2. Step 2: Convert to fraction form
    402,418.69/874,725.19 = 874,725.19/x
  3. Step 3: Cross multiply
    402,418.69x = 874,725.19 × 874,725.19
  4. Step 4: Simplify right side
    402,418.69x = 765,144,153,646.91
  5. Step 5: Solve for x
    x = 765,144,153,646.91/402,418.69
  6. Step 6: Final answer
    x = 1,901,363.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.