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Finding the Third Proportional to 136,543.50 and 295,443

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Solution

The third proportional to 136,543.50 and 295,443 is: 639,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,543.50 : 295,443 = 295,443 : x
  2. Step 2: Convert to fraction form
    136,543.50/295,443 = 295,443/x
  3. Step 3: Cross multiply
    136,543.50x = 295,443 × 295,443
  4. Step 4: Simplify right side
    136,543.50x = 87,286,566,249
  5. Step 5: Solve for x
    x = 87,286,566,249/136,543.50
  6. Step 6: Final answer
    x = 639,258.30

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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.