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Finding the Third Proportional to 429,960 and 911,175

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Solution

The third proportional to 429,960 and 911,175 is: 1,930,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,960 : 911,175 = 911,175 : x
  2. Step 2: Convert to fraction form
    429,960/911,175 = 911,175/x
  3. Step 3: Cross multiply
    429,960x = 911,175 × 911,175
  4. Step 4: Simplify right side
    429,960x = 830,239,880,625
  5. Step 5: Solve for x
    x = 830,239,880,625/429,960
  6. Step 6: Final answer
    x = 1,930,970.05

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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.