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Finding the Third Proportional to 213,579 and 469,791

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Solution

The third proportional to 213,579 and 469,791 is: 1,033,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,579 : 469,791 = 469,791 : x
  2. Step 2: Convert to fraction form
    213,579/469,791 = 469,791/x
  3. Step 3: Cross multiply
    213,579x = 469,791 × 469,791
  4. Step 4: Simplify right side
    213,579x = 220,703,583,681
  5. Step 5: Solve for x
    x = 220,703,583,681/213,579
  6. Step 6: Final answer
    x = 1,033,358.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.