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Finding the Third Proportional to 247,770 and 530,520

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Solution

The third proportional to 247,770 and 530,520 is: 1,135,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,770 : 530,520 = 530,520 : x
  2. Step 2: Convert to fraction form
    247,770/530,520 = 530,520/x
  3. Step 3: Cross multiply
    247,770x = 530,520 × 530,520
  4. Step 4: Simplify right side
    247,770x = 281,451,470,400
  5. Step 5: Solve for x
    x = 281,451,470,400/247,770
  6. Step 6: Final answer
    x = 1,135,938.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.