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Finding the Third Proportional to 132,090 and 285,705

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Solution

The third proportional to 132,090 and 285,705 is: 617,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,090 : 285,705 = 285,705 : x
  2. Step 2: Convert to fraction form
    132,090/285,705 = 285,705/x
  3. Step 3: Cross multiply
    132,090x = 285,705 × 285,705
  4. Step 4: Simplify right side
    132,090x = 81,627,347,025
  5. Step 5: Solve for x
    x = 81,627,347,025/132,090
  6. Step 6: Final answer
    x = 617,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.