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Finding the Third Proportional to 136,355 and 290,207

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Solution

The third proportional to 136,355 and 290,207 is: 617,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,355 : 290,207 = 290,207 : x
  2. Step 2: Convert to fraction form
    136,355/290,207 = 290,207/x
  3. Step 3: Cross multiply
    136,355x = 290,207 × 290,207
  4. Step 4: Simplify right side
    136,355x = 84,220,102,849
  5. Step 5: Solve for x
    x = 84,220,102,849/136,355
  6. Step 6: Final answer
    x = 617,653.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.