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Finding the Third Proportional to 215,740.75 and 469,358

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Solution

The third proportional to 215,740.75 and 469,358 is: 1,021,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,740.75 : 469,358 = 469,358 : x
  2. Step 2: Convert to fraction form
    215,740.75/469,358 = 469,358/x
  3. Step 3: Cross multiply
    215,740.75x = 469,358 × 469,358
  4. Step 4: Simplify right side
    215,740.75x = 220,296,932,164
  5. Step 5: Solve for x
    x = 220,296,932,164/215,740.75
  6. Step 6: Final answer
    x = 1,021,118.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.