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Finding the Third Proportional to 395,418.94 and 818,875.13

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Solution

The third proportional to 395,418.94 and 818,875.13 is: 1,695,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,418.94 : 818,875.13 = 818,875.13 : x
  2. Step 2: Convert to fraction form
    395,418.94/818,875.13 = 818,875.13/x
  3. Step 3: Cross multiply
    395,418.94x = 818,875.13 × 818,875.13
  4. Step 4: Simplify right side
    395,418.94x = 670,556,470,343.77
  5. Step 5: Solve for x
    x = 670,556,470,343.77/395,418.94
  6. Step 6: Final answer
    x = 1,695,812.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.