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Finding the Third Proportional to 553,678 and 863,301

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Solution

The third proportional to 553,678 and 863,301 is: 1,346,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,678 : 863,301 = 863,301 : x
  2. Step 2: Convert to fraction form
    553,678/863,301 = 863,301/x
  3. Step 3: Cross multiply
    553,678x = 863,301 × 863,301
  4. Step 4: Simplify right side
    553,678x = 745,288,616,601
  5. Step 5: Solve for x
    x = 745,288,616,601/553,678
  6. Step 6: Final answer
    x = 1,346,068.68

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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.