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Finding the Third Proportional to 405,742 and 867,768

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Solution

The third proportional to 405,742 and 867,768 is: 1,855,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,742 : 867,768 = 867,768 : x
  2. Step 2: Convert to fraction form
    405,742/867,768 = 867,768/x
  3. Step 3: Cross multiply
    405,742x = 867,768 × 867,768
  4. Step 4: Simplify right side
    405,742x = 753,021,301,824
  5. Step 5: Solve for x
    x = 753,021,301,824/405,742
  6. Step 6: Final answer
    x = 1,855,911.64

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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.