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Finding the Third Proportional to 417,255 and 910,947

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Solution

The third proportional to 417,255 and 910,947 is: 1,988,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,255 : 910,947 = 910,947 : x
  2. Step 2: Convert to fraction form
    417,255/910,947 = 910,947/x
  3. Step 3: Cross multiply
    417,255x = 910,947 × 910,947
  4. Step 4: Simplify right side
    417,255x = 829,824,436,809
  5. Step 5: Solve for x
    x = 829,824,436,809/417,255
  6. Step 6: Final answer
    x = 1,988,770.50

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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.