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Finding the Third Proportional to 286,143.50 and 442,865

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Solution

The third proportional to 286,143.50 and 442,865 is: 685,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143.50 : 442,865 = 442,865 : x
  2. Step 2: Convert to fraction form
    286,143.50/442,865 = 442,865/x
  3. Step 3: Cross multiply
    286,143.50x = 442,865 × 442,865
  4. Step 4: Simplify right side
    286,143.50x = 196,129,408,225
  5. Step 5: Solve for x
    x = 196,129,408,225/286,143.50
  6. Step 6: Final answer
    x = 685,423.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.