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Finding the Third Proportional to 420,305 and 899,659

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Solution

The third proportional to 420,305 and 899,659 is: 1,925,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,305 : 899,659 = 899,659 : x
  2. Step 2: Convert to fraction form
    420,305/899,659 = 899,659/x
  3. Step 3: Cross multiply
    420,305x = 899,659 × 899,659
  4. Step 4: Simplify right side
    420,305x = 809,386,316,281
  5. Step 5: Solve for x
    x = 809,386,316,281/420,305
  6. Step 6: Final answer
    x = 1,925,711.84

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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.