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Finding the Third Proportional to 415,464 and 903,840

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Solution

The third proportional to 415,464 and 903,840 is: 1,966,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,464 : 903,840 = 903,840 : x
  2. Step 2: Convert to fraction form
    415,464/903,840 = 903,840/x
  3. Step 3: Cross multiply
    415,464x = 903,840 × 903,840
  4. Step 4: Simplify right side
    415,464x = 816,926,745,600
  5. Step 5: Solve for x
    x = 816,926,745,600/415,464
  6. Step 6: Final answer
    x = 1,966,299.72

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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.