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Finding the Third Proportional to 420,333 and 912,108

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Solution

The third proportional to 420,333 and 912,108 is: 1,979,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,333 : 912,108 = 912,108 : x
  2. Step 2: Convert to fraction form
    420,333/912,108 = 912,108/x
  3. Step 3: Cross multiply
    420,333x = 912,108 × 912,108
  4. Step 4: Simplify right side
    420,333x = 831,941,003,664
  5. Step 5: Solve for x
    x = 831,941,003,664/420,333
  6. Step 6: Final answer
    x = 1,979,242.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.