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Finding the Third Proportional to 315,113 and 477,427

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Solution

The third proportional to 315,113 and 477,427 is: 723,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,113 : 477,427 = 477,427 : x
  2. Step 2: Convert to fraction form
    315,113/477,427 = 477,427/x
  3. Step 3: Cross multiply
    315,113x = 477,427 × 477,427
  4. Step 4: Simplify right side
    315,113x = 227,936,540,329
  5. Step 5: Solve for x
    x = 227,936,540,329/315,113
  6. Step 6: Final answer
    x = 723,348.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.