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Finding the Third Proportional to 215,994.75 and 290,771

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Solution

The third proportional to 215,994.75 and 290,771 is: 391,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,994.75 : 290,771 = 290,771 : x
  2. Step 2: Convert to fraction form
    215,994.75/290,771 = 290,771/x
  3. Step 3: Cross multiply
    215,994.75x = 290,771 × 290,771
  4. Step 4: Simplify right side
    215,994.75x = 84,547,774,441
  5. Step 5: Solve for x
    x = 84,547,774,441/215,994.75
  6. Step 6: Final answer
    x = 391,434.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.