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Finding the Third Proportional to 134,188 and 289,397

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Solution

The third proportional to 134,188 and 289,397 is: 624,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,188 : 289,397 = 289,397 : x
  2. Step 2: Convert to fraction form
    134,188/289,397 = 289,397/x
  3. Step 3: Cross multiply
    134,188x = 289,397 × 289,397
  4. Step 4: Simplify right side
    134,188x = 83,750,623,609
  5. Step 5: Solve for x
    x = 83,750,623,609/134,188
  6. Step 6: Final answer
    x = 624,129.01

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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.