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Finding the Third Proportional to 420,303 and 899,655

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Solution

The third proportional to 420,303 and 899,655 is: 1,925,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,303 : 899,655 = 899,655 : x
  2. Step 2: Convert to fraction form
    420,303/899,655 = 899,655/x
  3. Step 3: Cross multiply
    420,303x = 899,655 × 899,655
  4. Step 4: Simplify right side
    420,303x = 809,379,119,025
  5. Step 5: Solve for x
    x = 809,379,119,025/420,303
  6. Step 6: Final answer
    x = 1,925,703.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.