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Finding the Third Proportional to 876,405 and 1,311,106

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Solution

The third proportional to 876,405 and 1,311,106 is: 1,961,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,405 : 1,311,106 = 1,311,106 : x
  2. Step 2: Convert to fraction form
    876,405/1,311,106 = 1,311,106/x
  3. Step 3: Cross multiply
    876,405x = 1,311,106 × 1,311,106
  4. Step 4: Simplify right side
    876,405x = 1,718,998,943,236
  5. Step 5: Solve for x
    x = 1,718,998,943,236/876,405
  6. Step 6: Final answer
    x = 1,961,420.74

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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.