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Finding the Third Proportional to 426,037.50 and 911,913.75

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Solution

The third proportional to 426,037.50 and 911,913.75 is: 1,951,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,037.50 : 911,913.75 = 911,913.75 : x
  2. Step 2: Convert to fraction form
    426,037.50/911,913.75 = 911,913.75/x
  3. Step 3: Cross multiply
    426,037.50x = 911,913.75 × 911,913.75
  4. Step 4: Simplify right side
    426,037.50x = 831,586,687,439.06
  5. Step 5: Solve for x
    x = 831,586,687,439.06/426,037.50
  6. Step 6: Final answer
    x = 1,951,909.60

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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.