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Finding the Third Proportional to 136,196 and 290,920

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Solution

The third proportional to 136,196 and 290,920 is: 621,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,196 : 290,920 = 290,920 : x
  2. Step 2: Convert to fraction form
    136,196/290,920 = 290,920/x
  3. Step 3: Cross multiply
    136,196x = 290,920 × 290,920
  4. Step 4: Simplify right side
    136,196x = 84,634,446,400
  5. Step 5: Solve for x
    x = 84,634,446,400/136,196
  6. Step 6: Final answer
    x = 621,416.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.