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Finding the Third Proportional to 287,866 and 608,947

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Solution

The third proportional to 287,866 and 608,947 is: 1,288,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,866 : 608,947 = 608,947 : x
  2. Step 2: Convert to fraction form
    287,866/608,947 = 608,947/x
  3. Step 3: Cross multiply
    287,866x = 608,947 × 608,947
  4. Step 4: Simplify right side
    287,866x = 370,816,448,809
  5. Step 5: Solve for x
    x = 370,816,448,809/287,866
  6. Step 6: Final answer
    x = 1,288,156.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.