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Finding the Third Proportional to 186,841.69 and 290,106

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Solution

The third proportional to 186,841.69 and 290,106 is: 450,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,841.69 : 290,106 = 290,106 : x
  2. Step 2: Convert to fraction form
    186,841.69/290,106 = 290,106/x
  3. Step 3: Cross multiply
    186,841.69x = 290,106 × 290,106
  4. Step 4: Simplify right side
    186,841.69x = 84,161,491,236
  5. Step 5: Solve for x
    x = 84,161,491,236/186,841.69
  6. Step 6: Final answer
    x = 450,442.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.