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Finding the Third Proportional to 420,231 and 899,511

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Solution

The third proportional to 420,231 and 899,511 is: 1,925,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,231 : 899,511 = 899,511 : x
  2. Step 2: Convert to fraction form
    420,231/899,511 = 899,511/x
  3. Step 3: Cross multiply
    420,231x = 899,511 × 899,511
  4. Step 4: Simplify right side
    420,231x = 809,120,039,121
  5. Step 5: Solve for x
    x = 809,120,039,121/420,231
  6. Step 6: Final answer
    x = 1,925,417.30

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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.