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Finding the Third Proportional to 418,667 and 917,146

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Solution

The third proportional to 418,667 and 917,146 is: 2,009,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,667 : 917,146 = 917,146 : x
  2. Step 2: Convert to fraction form
    418,667/917,146 = 917,146/x
  3. Step 3: Cross multiply
    418,667x = 917,146 × 917,146
  4. Step 4: Simplify right side
    418,667x = 841,156,785,316
  5. Step 5: Solve for x
    x = 841,156,785,316/418,667
  6. Step 6: Final answer
    x = 2,009,130.85

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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.