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Finding the Third Proportional to 58,682 and 128,117

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Solution

The third proportional to 58,682 and 128,117 is: 279,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,682 : 128,117 = 128,117 : x
  2. Step 2: Convert to fraction form
    58,682/128,117 = 128,117/x
  3. Step 3: Cross multiply
    58,682x = 128,117 × 128,117
  4. Step 4: Simplify right side
    58,682x = 16,413,965,689
  5. Step 5: Solve for x
    x = 16,413,965,689/58,682
  6. Step 6: Final answer
    x = 279,710.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.