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Finding the Third Proportional to 148,296 and 316,278

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Solution

The third proportional to 148,296 and 316,278 is: 674,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,296 : 316,278 = 316,278 : x
  2. Step 2: Convert to fraction form
    148,296/316,278 = 316,278/x
  3. Step 3: Cross multiply
    148,296x = 316,278 × 316,278
  4. Step 4: Simplify right side
    148,296x = 100,031,773,284
  5. Step 5: Solve for x
    x = 100,031,773,284/148,296
  6. Step 6: Final answer
    x = 674,541.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.