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Finding the Third Proportional to 420,155 and 921,946

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Solution

The third proportional to 420,155 and 921,946 is: 2,023,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,155 : 921,946 = 921,946 : x
  2. Step 2: Convert to fraction form
    420,155/921,946 = 921,946/x
  3. Step 3: Cross multiply
    420,155x = 921,946 × 921,946
  4. Step 4: Simplify right side
    420,155x = 849,984,426,916
  5. Step 5: Solve for x
    x = 849,984,426,916/420,155
  6. Step 6: Final answer
    x = 2,023,025.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.