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Finding the Third Proportional to 193,590 and 290,385

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Solution

The third proportional to 193,590 and 290,385 is: 435,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590 : 290,385 = 290,385 : x
  2. Step 2: Convert to fraction form
    193,590/290,385 = 290,385/x
  3. Step 3: Cross multiply
    193,590x = 290,385 × 290,385
  4. Step 4: Simplify right side
    193,590x = 84,323,448,225
  5. Step 5: Solve for x
    x = 84,323,448,225/193,590
  6. Step 6: Final answer
    x = 435,577.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.