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Finding the Third Proportional to 290,217.38 and 439,707.38

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Solution

The third proportional to 290,217.38 and 439,707.38 is: 666,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,217.38 : 439,707.38 = 439,707.38 : x
  2. Step 2: Convert to fraction form
    290,217.38/439,707.38 = 439,707.38/x
  3. Step 3: Cross multiply
    290,217.38x = 439,707.38 × 439,707.38
  4. Step 4: Simplify right side
    290,217.38x = 193,342,575,629.39
  5. Step 5: Solve for x
    x = 193,342,575,629.39/290,217.38
  6. Step 6: Final answer
    x = 666,199.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.