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Finding the Third Proportional to 83,724 and 130,236

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Solution

The third proportional to 83,724 and 130,236 is: 202,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,724 : 130,236 = 130,236 : x
  2. Step 2: Convert to fraction form
    83,724/130,236 = 130,236/x
  3. Step 3: Cross multiply
    83,724x = 130,236 × 130,236
  4. Step 4: Simplify right side
    83,724x = 16,961,415,696
  5. Step 5: Solve for x
    x = 16,961,415,696/83,724
  6. Step 6: Final answer
    x = 202,587.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.