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Finding the Third Proportional to 356,780 and 552,739

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Solution

The third proportional to 356,780 and 552,739 is: 856,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,780 : 552,739 = 552,739 : x
  2. Step 2: Convert to fraction form
    356,780/552,739 = 552,739/x
  3. Step 3: Cross multiply
    356,780x = 552,739 × 552,739
  4. Step 4: Simplify right side
    356,780x = 305,520,402,121
  5. Step 5: Solve for x
    x = 305,520,402,121/356,780
  6. Step 6: Final answer
    x = 856,327.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.