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Finding the Third Proportional to 180,073.50 and 386,391

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Solution

The third proportional to 180,073.50 and 386,391 is: 829,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,073.50 : 386,391 = 386,391 : x
  2. Step 2: Convert to fraction form
    180,073.50/386,391 = 386,391/x
  3. Step 3: Cross multiply
    180,073.50x = 386,391 × 386,391
  4. Step 4: Simplify right side
    180,073.50x = 149,298,004,881
  5. Step 5: Solve for x
    x = 149,298,004,881/180,073.50
  6. Step 6: Final answer
    x = 829,094.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.