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Finding the Third Proportional to 66,985.50 and 144,487

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Solution

The third proportional to 66,985.50 and 144,487 is: 311,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,985.50 : 144,487 = 144,487 : x
  2. Step 2: Convert to fraction form
    66,985.50/144,487 = 144,487/x
  3. Step 3: Cross multiply
    66,985.50x = 144,487 × 144,487
  4. Step 4: Simplify right side
    66,985.50x = 20,876,493,169
  5. Step 5: Solve for x
    x = 20,876,493,169/66,985.50
  6. Step 6: Final answer
    x = 311,656.90

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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.