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Finding the Third Proportional to 418,072 and 916,015

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Solution

The third proportional to 418,072 and 916,015 is: 2,007,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,072 : 916,015 = 916,015 : x
  2. Step 2: Convert to fraction form
    418,072/916,015 = 916,015/x
  3. Step 3: Cross multiply
    418,072x = 916,015 × 916,015
  4. Step 4: Simplify right side
    418,072x = 839,083,480,225
  5. Step 5: Solve for x
    x = 839,083,480,225/418,072
  6. Step 6: Final answer
    x = 2,007,031.04

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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.