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Finding the Third Proportional to 59,709 and 128,742

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Solution

The third proportional to 59,709 and 128,742 is: 277,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,709 : 128,742 = 128,742 : x
  2. Step 2: Convert to fraction form
    59,709/128,742 = 128,742/x
  3. Step 3: Cross multiply
    59,709x = 128,742 × 128,742
  4. Step 4: Simplify right side
    59,709x = 16,574,502,564
  5. Step 5: Solve for x
    x = 16,574,502,564/59,709
  6. Step 6: Final answer
    x = 277,588.01

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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.