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Finding the Third Proportional to 415,416 and 903,729

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Solution

The third proportional to 415,416 and 903,729 is: 1,966,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,416 : 903,729 = 903,729 : x
  2. Step 2: Convert to fraction form
    415,416/903,729 = 903,729/x
  3. Step 3: Cross multiply
    415,416x = 903,729 × 903,729
  4. Step 4: Simplify right side
    415,416x = 816,726,105,441
  5. Step 5: Solve for x
    x = 816,726,105,441/415,416
  6. Step 6: Final answer
    x = 1,966,043.93

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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.