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Finding the Third Proportional to 213,572 and 469,777

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Solution

The third proportional to 213,572 and 469,777 is: 1,033,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,572 : 469,777 = 469,777 : x
  2. Step 2: Convert to fraction form
    213,572/469,777 = 469,777/x
  3. Step 3: Cross multiply
    213,572x = 469,777 × 469,777
  4. Step 4: Simplify right side
    213,572x = 220,690,429,729
  5. Step 5: Solve for x
    x = 220,690,429,729/213,572
  6. Step 6: Final answer
    x = 1,033,330.35

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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.