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Finding the Third Proportional to 420,750 and 918,598

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Solution

The third proportional to 420,750 and 918,598 is: 2,005,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,750 : 918,598 = 918,598 : x
  2. Step 2: Convert to fraction form
    420,750/918,598 = 918,598/x
  3. Step 3: Cross multiply
    420,750x = 918,598 × 918,598
  4. Step 4: Simplify right side
    420,750x = 843,822,285,604
  5. Step 5: Solve for x
    x = 843,822,285,604/420,750
  6. Step 6: Final answer
    x = 2,005,519.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.