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Finding the Third Proportional to 474,178 and 727,105

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Solution

The third proportional to 474,178 and 727,105 is: 1,114,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,178 : 727,105 = 727,105 : x
  2. Step 2: Convert to fraction form
    474,178/727,105 = 727,105/x
  3. Step 3: Cross multiply
    474,178x = 727,105 × 727,105
  4. Step 4: Simplify right side
    474,178x = 528,681,681,025
  5. Step 5: Solve for x
    x = 528,681,681,025/474,178
  6. Step 6: Final answer
    x = 1,114,943.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.