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Finding the Third Proportional to 133,085 and 291,685

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Solution

The third proportional to 133,085 and 291,685 is: 639,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 291,685 = 291,685 : x
  2. Step 2: Convert to fraction form
    133,085/291,685 = 291,685/x
  3. Step 3: Cross multiply
    133,085x = 291,685 × 291,685
  4. Step 4: Simplify right side
    133,085x = 85,080,139,225
  5. Step 5: Solve for x
    x = 85,080,139,225/133,085
  6. Step 6: Final answer
    x = 639,291.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.