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Finding the Third Proportional to 172,786 and 270,465

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Solution

The third proportional to 172,786 and 270,465 is: 423,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,786 : 270,465 = 270,465 : x
  2. Step 2: Convert to fraction form
    172,786/270,465 = 270,465/x
  3. Step 3: Cross multiply
    172,786x = 270,465 × 270,465
  4. Step 4: Simplify right side
    172,786x = 73,151,316,225
  5. Step 5: Solve for x
    x = 73,151,316,225/172,786
  6. Step 6: Final answer
    x = 423,363.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.