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Finding the Third Proportional to 430,063.50 and 911,400

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Solution

The third proportional to 430,063.50 and 911,400 is: 1,931,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,063.50 : 911,400 = 911,400 : x
  2. Step 2: Convert to fraction form
    430,063.50/911,400 = 911,400/x
  3. Step 3: Cross multiply
    430,063.50x = 911,400 × 911,400
  4. Step 4: Simplify right side
    430,063.50x = 830,649,960,000
  5. Step 5: Solve for x
    x = 830,649,960,000/430,063.50
  6. Step 6: Final answer
    x = 1,931,458.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.