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Finding the Third Proportional to 186,979 and 290,071

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Solution

The third proportional to 186,979 and 290,071 is: 450,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,979 : 290,071 = 290,071 : x
  2. Step 2: Convert to fraction form
    186,979/290,071 = 290,071/x
  3. Step 3: Cross multiply
    186,979x = 290,071 × 290,071
  4. Step 4: Simplify right side
    186,979x = 84,141,185,041
  5. Step 5: Solve for x
    x = 84,141,185,041/186,979
  6. Step 6: Final answer
    x = 450,003.40

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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.