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Finding the Third Proportional to 178,492.50 and 388,971

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Solution

The third proportional to 178,492.50 and 388,971 is: 847,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,492.50 : 388,971 = 388,971 : x
  2. Step 2: Convert to fraction form
    178,492.50/388,971 = 388,971/x
  3. Step 3: Cross multiply
    178,492.50x = 388,971 × 388,971
  4. Step 4: Simplify right side
    178,492.50x = 151,298,438,841
  5. Step 5: Solve for x
    x = 151,298,438,841/178,492.50
  6. Step 6: Final answer
    x = 847,645.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.