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Finding the Third Proportional to 172,516 and 371,276

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Solution

The third proportional to 172,516 and 371,276 is: 799,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,516 : 371,276 = 371,276 : x
  2. Step 2: Convert to fraction form
    172,516/371,276 = 371,276/x
  3. Step 3: Cross multiply
    172,516x = 371,276 × 371,276
  4. Step 4: Simplify right side
    172,516x = 137,845,868,176
  5. Step 5: Solve for x
    x = 137,845,868,176/172,516
  6. Step 6: Final answer
    x = 799,032.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.