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Finding the Third Proportional to 649,744.88 and 999,990.56

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Solution

The third proportional to 649,744.88 and 999,990.56 is: 1,539,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,744.88 : 999,990.56 = 999,990.56 : x
  2. Step 2: Convert to fraction form
    649,744.88/999,990.56 = 999,990.56/x
  3. Step 3: Cross multiply
    649,744.88x = 999,990.56 × 999,990.56
  4. Step 4: Simplify right side
    649,744.88x = 999,981,125,089.07
  5. Step 5: Solve for x
    x = 999,981,125,089.07/649,744.88
  6. Step 6: Final answer
    x = 1,539,036.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.