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Finding the Third Proportional to 444,663 and 687,811.50

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Solution

The third proportional to 444,663 and 687,811.50 is: 1,063,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,663 : 687,811.50 = 687,811.50 : x
  2. Step 2: Convert to fraction form
    444,663/687,811.50 = 687,811.50/x
  3. Step 3: Cross multiply
    444,663x = 687,811.50 × 687,811.50
  4. Step 4: Simplify right side
    444,663x = 473,084,659,532.25
  5. Step 5: Solve for x
    x = 473,084,659,532.25/444,663
  6. Step 6: Final answer
    x = 1,063,917.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.