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Finding the Third Proportional to 886,315.50 and 1,290,724.88

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Solution

The third proportional to 886,315.50 and 1,290,724.88 is: 1,879,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,315.50 : 1,290,724.88 = 1,290,724.88 : x
  2. Step 2: Convert to fraction form
    886,315.50/1,290,724.88 = 1,290,724.88/x
  3. Step 3: Cross multiply
    886,315.50x = 1,290,724.88 × 1,290,724.88
  4. Step 4: Simplify right side
    886,315.50x = 1,665,970,702,943.77
  5. Step 5: Solve for x
    x = 1,665,970,702,943.77/886,315.50
  6. Step 6: Final answer
    x = 1,879,658.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.