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Finding the Third Proportional to 172,000 and 265,664

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Solution

The third proportional to 172,000 and 265,664 is: 410,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,000 : 265,664 = 265,664 : x
  2. Step 2: Convert to fraction form
    172,000/265,664 = 265,664/x
  3. Step 3: Cross multiply
    172,000x = 265,664 × 265,664
  4. Step 4: Simplify right side
    172,000x = 70,577,360,896
  5. Step 5: Solve for x
    x = 70,577,360,896/172,000
  6. Step 6: Final answer
    x = 410,333.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.