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Finding the Third Proportional to 66,305 and 143,202

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Solution

The third proportional to 66,305 and 143,202 is: 309,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,305 : 143,202 = 143,202 : x
  2. Step 2: Convert to fraction form
    66,305/143,202 = 143,202/x
  3. Step 3: Cross multiply
    66,305x = 143,202 × 143,202
  4. Step 4: Simplify right side
    66,305x = 20,506,812,804
  5. Step 5: Solve for x
    x = 20,506,812,804/66,305
  6. Step 6: Final answer
    x = 309,280.04

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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.