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Finding the Third Proportional to 286,894.50 and 442,684.50

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Solution

The third proportional to 286,894.50 and 442,684.50 is: 683,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,894.50 : 442,684.50 = 442,684.50 : x
  2. Step 2: Convert to fraction form
    286,894.50/442,684.50 = 442,684.50/x
  3. Step 3: Cross multiply
    286,894.50x = 442,684.50 × 442,684.50
  4. Step 4: Simplify right side
    286,894.50x = 195,969,566,540.25
  5. Step 5: Solve for x
    x = 195,969,566,540.25/286,894.50
  6. Step 6: Final answer
    x = 683,071.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.