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Finding the Third Proportional to 59,673 and 128,685

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Solution

The third proportional to 59,673 and 128,685 is: 277,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,673 : 128,685 = 128,685 : x
  2. Step 2: Convert to fraction form
    59,673/128,685 = 128,685/x
  3. Step 3: Cross multiply
    59,673x = 128,685 × 128,685
  4. Step 4: Simplify right side
    59,673x = 16,559,829,225
  5. Step 5: Solve for x
    x = 16,559,829,225/59,673
  6. Step 6: Final answer
    x = 277,509.58

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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.