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Finding the Third Proportional to 418,074 and 916,019

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Solution

The third proportional to 418,074 and 916,019 is: 2,007,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,074 : 916,019 = 916,019 : x
  2. Step 2: Convert to fraction form
    418,074/916,019 = 916,019/x
  3. Step 3: Cross multiply
    418,074x = 916,019 × 916,019
  4. Step 4: Simplify right side
    418,074x = 839,090,808,361
  5. Step 5: Solve for x
    x = 839,090,808,361/418,074
  6. Step 6: Final answer
    x = 2,007,038.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.