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Finding the Third Proportional to 129,775.50 and 287,732.25

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Solution

The third proportional to 129,775.50 and 287,732.25 is: 637,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,775.50 : 287,732.25 = 287,732.25 : x
  2. Step 2: Convert to fraction form
    129,775.50/287,732.25 = 287,732.25/x
  3. Step 3: Cross multiply
    129,775.50x = 287,732.25 × 287,732.25
  4. Step 4: Simplify right side
    129,775.50x = 82,789,847,690.06
  5. Step 5: Solve for x
    x = 82,789,847,690.06/129,775.50
  6. Step 6: Final answer
    x = 637,946.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.