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Finding the Third Proportional to 415,406 and 903,712

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Solution

The third proportional to 415,406 and 903,712 is: 1,966,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,406 : 903,712 = 903,712 : x
  2. Step 2: Convert to fraction form
    415,406/903,712 = 903,712/x
  3. Step 3: Cross multiply
    415,406x = 903,712 × 903,712
  4. Step 4: Simplify right side
    415,406x = 816,695,378,944
  5. Step 5: Solve for x
    x = 816,695,378,944/415,406
  6. Step 6: Final answer
    x = 1,966,017.29

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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.