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Finding the Third Proportional to 172,802.25 and 354,213

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Solution

The third proportional to 172,802.25 and 354,213 is: 726,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,802.25 : 354,213 = 354,213 : x
  2. Step 2: Convert to fraction form
    172,802.25/354,213 = 354,213/x
  3. Step 3: Cross multiply
    172,802.25x = 354,213 × 354,213
  4. Step 4: Simplify right side
    172,802.25x = 125,466,849,369
  5. Step 5: Solve for x
    x = 125,466,849,369/172,802.25
  6. Step 6: Final answer
    x = 726,071.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.