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Finding the Third Proportional to 215,615 and 453,572

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Solution

The third proportional to 215,615 and 453,572 is: 954,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,615 : 453,572 = 453,572 : x
  2. Step 2: Convert to fraction form
    215,615/453,572 = 453,572/x
  3. Step 3: Cross multiply
    215,615x = 453,572 × 453,572
  4. Step 4: Simplify right side
    215,615x = 205,727,559,184
  5. Step 5: Solve for x
    x = 205,727,559,184/215,615
  6. Step 6: Final answer
    x = 954,143.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.