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Finding the Third Proportional to 609,030 and 911,115

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Solution

The third proportional to 609,030 and 911,115 is: 1,363,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,030 : 911,115 = 911,115 : x
  2. Step 2: Convert to fraction form
    609,030/911,115 = 911,115/x
  3. Step 3: Cross multiply
    609,030x = 911,115 × 911,115
  4. Step 4: Simplify right side
    609,030x = 830,130,543,225
  5. Step 5: Solve for x
    x = 830,130,543,225/609,030
  6. Step 6: Final answer
    x = 1,363,037.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.