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Finding the Third Proportional to 286,341.75 and 616,939.88

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Solution

The third proportional to 286,341.75 and 616,939.88 is: 1,329,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,341.75 : 616,939.88 = 616,939.88 : x
  2. Step 2: Convert to fraction form
    286,341.75/616,939.88 = 616,939.88/x
  3. Step 3: Cross multiply
    286,341.75x = 616,939.88 × 616,939.88
  4. Step 4: Simplify right side
    286,341.75x = 380,614,809,365.02
  5. Step 5: Solve for x
    x = 380,614,809,365.02/286,341.75
  6. Step 6: Final answer
    x = 1,329,232.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.