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Finding the Third Proportional to 151,572 and 318,372

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Solution

The third proportional to 151,572 and 318,372 is: 668,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,572 : 318,372 = 318,372 : x
  2. Step 2: Convert to fraction form
    151,572/318,372 = 318,372/x
  3. Step 3: Cross multiply
    151,572x = 318,372 × 318,372
  4. Step 4: Simplify right side
    151,572x = 101,360,730,384
  5. Step 5: Solve for x
    x = 101,360,730,384/151,572
  6. Step 6: Final answer
    x = 668,729.91

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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.