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Finding the Third Proportional to 127,345 and 172,330

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Solution

The third proportional to 127,345 and 172,330 is: 233,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,345 : 172,330 = 172,330 : x
  2. Step 2: Convert to fraction form
    127,345/172,330 = 172,330/x
  3. Step 3: Cross multiply
    127,345x = 172,330 × 172,330
  4. Step 4: Simplify right side
    127,345x = 29,697,628,900
  5. Step 5: Solve for x
    x = 29,697,628,900/127,345
  6. Step 6: Final answer
    x = 233,206.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.