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Finding the Third Proportional to 189,875 and 415,215

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Solution

The third proportional to 189,875 and 415,215 is: 907,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,875 : 415,215 = 415,215 : x
  2. Step 2: Convert to fraction form
    189,875/415,215 = 415,215/x
  3. Step 3: Cross multiply
    189,875x = 415,215 × 415,215
  4. Step 4: Simplify right side
    189,875x = 172,403,496,225
  5. Step 5: Solve for x
    x = 172,403,496,225/189,875
  6. Step 6: Final answer
    x = 907,984.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.