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Finding the Third Proportional to 189,417 and 315,654

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Solution

The third proportional to 189,417 and 315,654 is: 526,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,417 : 315,654 = 315,654 : x
  2. Step 2: Convert to fraction form
    189,417/315,654 = 315,654/x
  3. Step 3: Cross multiply
    189,417x = 315,654 × 315,654
  4. Step 4: Simplify right side
    189,417x = 99,637,447,716
  5. Step 5: Solve for x
    x = 99,637,447,716/189,417
  6. Step 6: Final answer
    x = 526,021.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.