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Finding the Third Proportional to 456,235 and 992,740

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Solution

The third proportional to 456,235 and 992,740 is: 2,160,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,235 : 992,740 = 992,740 : x
  2. Step 2: Convert to fraction form
    456,235/992,740 = 992,740/x
  3. Step 3: Cross multiply
    456,235x = 992,740 × 992,740
  4. Step 4: Simplify right side
    456,235x = 985,532,707,600
  5. Step 5: Solve for x
    x = 985,532,707,600/456,235
  6. Step 6: Final answer
    x = 2,160,142.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.