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Finding the Third Proportional to 400,942 and 830,303

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Solution

The third proportional to 400,942 and 830,303 is: 1,719,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,942 : 830,303 = 830,303 : x
  2. Step 2: Convert to fraction form
    400,942/830,303 = 830,303/x
  3. Step 3: Cross multiply
    400,942x = 830,303 × 830,303
  4. Step 4: Simplify right side
    400,942x = 689,403,071,809
  5. Step 5: Solve for x
    x = 689,403,071,809/400,942
  6. Step 6: Final answer
    x = 1,719,458.36

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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.