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Finding the Third Proportional to 61,746.05 and 128,336.91

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Solution

The third proportional to 61,746.05 and 128,336.91 is: 266,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,746.05 : 128,336.91 = 128,336.91 : x
  2. Step 2: Convert to fraction form
    61,746.05/128,336.91 = 128,336.91/x
  3. Step 3: Cross multiply
    61,746.05x = 128,336.91 × 128,336.91
  4. Step 4: Simplify right side
    61,746.05x = 16,470,361,505.82
  5. Step 5: Solve for x
    x = 16,470,361,505.82/61,746.05
  6. Step 6: Final answer
    x = 266,743.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.