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Finding the Third Proportional to 191,004 and 258,480

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Solution

The third proportional to 191,004 and 258,480 is: 349,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,004 : 258,480 = 258,480 : x
  2. Step 2: Convert to fraction form
    191,004/258,480 = 258,480/x
  3. Step 3: Cross multiply
    191,004x = 258,480 × 258,480
  4. Step 4: Simplify right side
    191,004x = 66,811,910,400
  5. Step 5: Solve for x
    x = 66,811,910,400/191,004
  6. Step 6: Final answer
    x = 349,793.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.