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Finding the Third Proportional to 115,985 and 254,385

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Solution

The third proportional to 115,985 and 254,385 is: 557,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,985 : 254,385 = 254,385 : x
  2. Step 2: Convert to fraction form
    115,985/254,385 = 254,385/x
  3. Step 3: Cross multiply
    115,985x = 254,385 × 254,385
  4. Step 4: Simplify right side
    115,985x = 64,711,728,225
  5. Step 5: Solve for x
    x = 64,711,728,225/115,985
  6. Step 6: Final answer
    x = 557,931.87

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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.