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Finding the Third Proportional to 456,931 and 990,057

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Solution

The third proportional to 456,931 and 990,057 is: 2,145,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,931 : 990,057 = 990,057 : x
  2. Step 2: Convert to fraction form
    456,931/990,057 = 990,057/x
  3. Step 3: Cross multiply
    456,931x = 990,057 × 990,057
  4. Step 4: Simplify right side
    456,931x = 980,212,863,249
  5. Step 5: Solve for x
    x = 980,212,863,249/456,931
  6. Step 6: Final answer
    x = 2,145,209.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.