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Finding the Third Proportional to 172,260 and 365,370

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Solution

The third proportional to 172,260 and 365,370 is: 774,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,260 : 365,370 = 365,370 : x
  2. Step 2: Convert to fraction form
    172,260/365,370 = 365,370/x
  3. Step 3: Cross multiply
    172,260x = 365,370 × 365,370
  4. Step 4: Simplify right side
    172,260x = 133,495,236,900
  5. Step 5: Solve for x
    x = 133,495,236,900/172,260
  6. Step 6: Final answer
    x = 774,963.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.