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Finding the Third Proportional to 421,369 and 910,080

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Solution

The third proportional to 421,369 and 910,080 is: 1,965,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,369 : 910,080 = 910,080 : x
  2. Step 2: Convert to fraction form
    421,369/910,080 = 910,080/x
  3. Step 3: Cross multiply
    421,369x = 910,080 × 910,080
  4. Step 4: Simplify right side
    421,369x = 828,245,606,400
  5. Step 5: Solve for x
    x = 828,245,606,400/421,369
  6. Step 6: Final answer
    x = 1,965,606.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.