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Finding the Third Proportional to 58,246 and 136,921

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Solution

The third proportional to 58,246 and 136,921 is: 321,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,246 : 136,921 = 136,921 : x
  2. Step 2: Convert to fraction form
    58,246/136,921 = 136,921/x
  3. Step 3: Cross multiply
    58,246x = 136,921 × 136,921
  4. Step 4: Simplify right side
    58,246x = 18,747,360,241
  5. Step 5: Solve for x
    x = 18,747,360,241/58,246
  6. Step 6: Final answer
    x = 321,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.