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Finding the Third Proportional to 415,120 and 913,184

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Solution

The third proportional to 415,120 and 913,184 is: 2,008,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,120 : 913,184 = 913,184 : x
  2. Step 2: Convert to fraction form
    415,120/913,184 = 913,184/x
  3. Step 3: Cross multiply
    415,120x = 913,184 × 913,184
  4. Step 4: Simplify right side
    415,120x = 833,905,017,856
  5. Step 5: Solve for x
    x = 833,905,017,856/415,120
  6. Step 6: Final answer
    x = 2,008,828.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.