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Finding the Third Proportional to 61,106.91 and 128,266.03

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Solution

The third proportional to 61,106.91 and 128,266.03 is: 269,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106.91 : 128,266.03 = 128,266.03 : x
  2. Step 2: Convert to fraction form
    61,106.91/128,266.03 = 128,266.03/x
  3. Step 3: Cross multiply
    61,106.91x = 128,266.03 × 128,266.03
  4. Step 4: Simplify right side
    61,106.91x = 16,452,174,772.63
  5. Step 5: Solve for x
    x = 16,452,174,772.63/61,106.91
  6. Step 6: Final answer
    x = 269,235.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.