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Finding the Third Proportional to 213,742 and 333,553

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Solution

The third proportional to 213,742 and 333,553 is: 520,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,742 : 333,553 = 333,553 : x
  2. Step 2: Convert to fraction form
    213,742/333,553 = 333,553/x
  3. Step 3: Cross multiply
    213,742x = 333,553 × 333,553
  4. Step 4: Simplify right side
    213,742x = 111,257,603,809
  5. Step 5: Solve for x
    x = 111,257,603,809/213,742
  6. Step 6: Final answer
    x = 520,522.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.