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Finding the Third Proportional to 419,742 and 899,369

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Solution

The third proportional to 419,742 and 899,369 is: 1,927,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,742 : 899,369 = 899,369 : x
  2. Step 2: Convert to fraction form
    419,742/899,369 = 899,369/x
  3. Step 3: Cross multiply
    419,742x = 899,369 × 899,369
  4. Step 4: Simplify right side
    419,742x = 808,864,598,161
  5. Step 5: Solve for x
    x = 808,864,598,161/419,742
  6. Step 6: Final answer
    x = 1,927,051.85

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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.