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Finding the Third Proportional to 409,218 and 899,646

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Solution

The third proportional to 409,218 and 899,646 is: 1,977,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,218 : 899,646 = 899,646 : x
  2. Step 2: Convert to fraction form
    409,218/899,646 = 899,646/x
  3. Step 3: Cross multiply
    409,218x = 899,646 × 899,646
  4. Step 4: Simplify right side
    409,218x = 809,362,925,316
  5. Step 5: Solve for x
    x = 809,362,925,316/409,218
  6. Step 6: Final answer
    x = 1,977,828.26

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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.