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Finding the Third Proportional to 134,638 and 291,564

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Solution

The third proportional to 134,638 and 291,564 is: 631,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,638 : 291,564 = 291,564 : x
  2. Step 2: Convert to fraction form
    134,638/291,564 = 291,564/x
  3. Step 3: Cross multiply
    134,638x = 291,564 × 291,564
  4. Step 4: Simplify right side
    134,638x = 85,009,566,096
  5. Step 5: Solve for x
    x = 85,009,566,096/134,638
  6. Step 6: Final answer
    x = 631,393.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.