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Finding the Third Proportional to 420,897 and 917,286

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Solution

The third proportional to 420,897 and 917,286 is: 1,999,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,897 : 917,286 = 917,286 : x
  2. Step 2: Convert to fraction form
    420,897/917,286 = 917,286/x
  3. Step 3: Cross multiply
    420,897x = 917,286 × 917,286
  4. Step 4: Simplify right side
    420,897x = 841,413,605,796
  5. Step 5: Solve for x
    x = 841,413,605,796/420,897
  6. Step 6: Final answer
    x = 1,999,096.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.