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Finding the Third Proportional to 426,339 and 911,756.25

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Solution

The third proportional to 426,339 and 911,756.25 is: 1,949,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,339 : 911,756.25 = 911,756.25 : x
  2. Step 2: Convert to fraction form
    426,339/911,756.25 = 911,756.25/x
  3. Step 3: Cross multiply
    426,339x = 911,756.25 × 911,756.25
  4. Step 4: Simplify right side
    426,339x = 831,299,459,414.06
  5. Step 5: Solve for x
    x = 831,299,459,414.06/426,339
  6. Step 6: Final answer
    x = 1,949,855.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.