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Finding the Third Proportional to 415,465 and 903,722

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Solution

The third proportional to 415,465 and 903,722 is: 1,965,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,465 : 903,722 = 903,722 : x
  2. Step 2: Convert to fraction form
    415,465/903,722 = 903,722/x
  3. Step 3: Cross multiply
    415,465x = 903,722 × 903,722
  4. Step 4: Simplify right side
    415,465x = 816,713,453,284
  5. Step 5: Solve for x
    x = 816,713,453,284/415,465
  6. Step 6: Final answer
    x = 1,965,781.60

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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.