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Finding the Third Proportional to 142,884 and 307,273

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Solution

The third proportional to 142,884 and 307,273 is: 660,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884 : 307,273 = 307,273 : x
  2. Step 2: Convert to fraction form
    142,884/307,273 = 307,273/x
  3. Step 3: Cross multiply
    142,884x = 307,273 × 307,273
  4. Step 4: Simplify right side
    142,884x = 94,416,696,529
  5. Step 5: Solve for x
    x = 94,416,696,529/142,884
  6. Step 6: Final answer
    x = 660,792.65

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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.