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Finding the Third Proportional to 147,385 and 318,301

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Solution

The third proportional to 147,385 and 318,301 is: 687,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,385 : 318,301 = 318,301 : x
  2. Step 2: Convert to fraction form
    147,385/318,301 = 318,301/x
  3. Step 3: Cross multiply
    147,385x = 318,301 × 318,301
  4. Step 4: Simplify right side
    147,385x = 101,315,526,601
  5. Step 5: Solve for x
    x = 101,315,526,601/147,385
  6. Step 6: Final answer
    x = 687,420.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.