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Finding the Third Proportional to 186,979.50 and 290,073

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Solution

The third proportional to 186,979.50 and 290,073 is: 450,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,979.50 : 290,073 = 290,073 : x
  2. Step 2: Convert to fraction form
    186,979.50/290,073 = 290,073/x
  3. Step 3: Cross multiply
    186,979.50x = 290,073 × 290,073
  4. Step 4: Simplify right side
    186,979.50x = 84,142,345,329
  5. Step 5: Solve for x
    x = 84,142,345,329/186,979.50
  6. Step 6: Final answer
    x = 450,008.40

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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.