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Finding the Third Proportional to 67,273 and 141,515

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Solution

The third proportional to 67,273 and 141,515 is: 297,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,273 : 141,515 = 141,515 : x
  2. Step 2: Convert to fraction form
    67,273/141,515 = 141,515/x
  3. Step 3: Cross multiply
    67,273x = 141,515 × 141,515
  4. Step 4: Simplify right side
    67,273x = 20,026,495,225
  5. Step 5: Solve for x
    x = 20,026,495,225/67,273
  6. Step 6: Final answer
    x = 297,689.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.