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Finding the Third Proportional to 474,220 and 843,178

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Solution

The third proportional to 474,220 and 843,178 is: 1,499,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,220 : 843,178 = 843,178 : x
  2. Step 2: Convert to fraction form
    474,220/843,178 = 843,178/x
  3. Step 3: Cross multiply
    474,220x = 843,178 × 843,178
  4. Step 4: Simplify right side
    474,220x = 710,949,139,684
  5. Step 5: Solve for x
    x = 710,949,139,684/474,220
  6. Step 6: Final answer
    x = 1,499,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.