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Finding the Third Proportional to 415,112 and 913,168

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Solution

The third proportional to 415,112 and 913,168 is: 2,008,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,112 : 913,168 = 913,168 : x
  2. Step 2: Convert to fraction form
    415,112/913,168 = 913,168/x
  3. Step 3: Cross multiply
    415,112x = 913,168 × 913,168
  4. Step 4: Simplify right side
    415,112x = 833,875,796,224
  5. Step 5: Solve for x
    x = 833,875,796,224/415,112
  6. Step 6: Final answer
    x = 2,008,797.13

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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.