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Finding the Third Proportional to 147,365 and 318,274

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Solution

The third proportional to 147,365 and 318,274 is: 687,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,365 : 318,274 = 318,274 : x
  2. Step 2: Convert to fraction form
    147,365/318,274 = 318,274/x
  3. Step 3: Cross multiply
    147,365x = 318,274 × 318,274
  4. Step 4: Simplify right side
    147,365x = 101,298,339,076
  5. Step 5: Solve for x
    x = 101,298,339,076/147,365
  6. Step 6: Final answer
    x = 687,397.54

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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.