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Finding the Third Proportional to 66,355.50 and 140,487

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Solution

The third proportional to 66,355.50 and 140,487 is: 297,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,355.50 : 140,487 = 140,487 : x
  2. Step 2: Convert to fraction form
    66,355.50/140,487 = 140,487/x
  3. Step 3: Cross multiply
    66,355.50x = 140,487 × 140,487
  4. Step 4: Simplify right side
    66,355.50x = 19,736,597,169
  5. Step 5: Solve for x
    x = 19,736,597,169/66,355.50
  6. Step 6: Final answer
    x = 297,437.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.