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Finding the Third Proportional to 186,648 and 287,278

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Solution

The third proportional to 186,648 and 287,278 is: 442,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,648 : 287,278 = 287,278 : x
  2. Step 2: Convert to fraction form
    186,648/287,278 = 287,278/x
  3. Step 3: Cross multiply
    186,648x = 287,278 × 287,278
  4. Step 4: Simplify right side
    186,648x = 82,528,649,284
  5. Step 5: Solve for x
    x = 82,528,649,284/186,648
  6. Step 6: Final answer
    x = 442,161.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.