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Finding the Third Proportional to 275,742 and 442,407

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Solution

The third proportional to 275,742 and 442,407 is: 709,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742 : 442,407 = 442,407 : x
  2. Step 2: Convert to fraction form
    275,742/442,407 = 442,407/x
  3. Step 3: Cross multiply
    275,742x = 442,407 × 442,407
  4. Step 4: Simplify right side
    275,742x = 195,723,953,649
  5. Step 5: Solve for x
    x = 195,723,953,649/275,742
  6. Step 6: Final answer
    x = 709,808.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.