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Finding the Third Proportional to 102,545 and 215,458

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Solution

The third proportional to 102,545 and 215,458 is: 452,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,545 : 215,458 = 215,458 : x
  2. Step 2: Convert to fraction form
    102,545/215,458 = 215,458/x
  3. Step 3: Cross multiply
    102,545x = 215,458 × 215,458
  4. Step 4: Simplify right side
    102,545x = 46,422,149,764
  5. Step 5: Solve for x
    x = 46,422,149,764/102,545
  6. Step 6: Final answer
    x = 452,700.28

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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.