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Finding the Third Proportional to 375,430 and 809,539

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Solution

The third proportional to 375,430 and 809,539 is: 1,745,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,430 : 809,539 = 809,539 : x
  2. Step 2: Convert to fraction form
    375,430/809,539 = 809,539/x
  3. Step 3: Cross multiply
    375,430x = 809,539 × 809,539
  4. Step 4: Simplify right side
    375,430x = 655,353,392,521
  5. Step 5: Solve for x
    x = 655,353,392,521/375,430
  6. Step 6: Final answer
    x = 1,745,607.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.