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Finding the Third Proportional to 424,665 and 920,178

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Solution

The third proportional to 424,665 and 920,178 is: 1,993,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,665 : 920,178 = 920,178 : x
  2. Step 2: Convert to fraction form
    424,665/920,178 = 920,178/x
  3. Step 3: Cross multiply
    424,665x = 920,178 × 920,178
  4. Step 4: Simplify right side
    424,665x = 846,727,551,684
  5. Step 5: Solve for x
    x = 846,727,551,684/424,665
  6. Step 6: Final answer
    x = 1,993,871.76

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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.