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Finding the Third Proportional to 141,072 and 307,376

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Solution

The third proportional to 141,072 and 307,376 is: 669,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,072 : 307,376 = 307,376 : x
  2. Step 2: Convert to fraction form
    141,072/307,376 = 307,376/x
  3. Step 3: Cross multiply
    141,072x = 307,376 × 307,376
  4. Step 4: Simplify right side
    141,072x = 94,480,005,376
  5. Step 5: Solve for x
    x = 94,480,005,376/141,072
  6. Step 6: Final answer
    x = 669,728.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.