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Finding the Third Proportional to 102,543 and 215,454

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Solution

The third proportional to 102,543 and 215,454 is: 452,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,543 : 215,454 = 215,454 : x
  2. Step 2: Convert to fraction form
    102,543/215,454 = 215,454/x
  3. Step 3: Cross multiply
    102,543x = 215,454 × 215,454
  4. Step 4: Simplify right side
    102,543x = 46,420,426,116
  5. Step 5: Solve for x
    x = 46,420,426,116/102,543
  6. Step 6: Final answer
    x = 452,692.30

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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.