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Finding the Third Proportional to 377,720 and 552,972

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Solution

The third proportional to 377,720 and 552,972 is: 809,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,720 : 552,972 = 552,972 : x
  2. Step 2: Convert to fraction form
    377,720/552,972 = 552,972/x
  3. Step 3: Cross multiply
    377,720x = 552,972 × 552,972
  4. Step 4: Simplify right side
    377,720x = 305,778,032,784
  5. Step 5: Solve for x
    x = 305,778,032,784/377,720
  6. Step 6: Final answer
    x = 809,536.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.