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Finding the Third Proportional to 290,369.81 and 439,928.72

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Solution

The third proportional to 290,369.81 and 439,928.72 is: 666,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,369.81 : 439,928.72 = 439,928.72 : x
  2. Step 2: Convert to fraction form
    290,369.81/439,928.72 = 439,928.72/x
  3. Step 3: Cross multiply
    290,369.81x = 439,928.72 × 439,928.72
  4. Step 4: Simplify right side
    290,369.81x = 193,537,277,581.02
  5. Step 5: Solve for x
    x = 193,537,277,581.02/290,369.81
  6. Step 6: Final answer
    x = 666,519.97

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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.