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Finding the Third Proportional to 66,370 and 143,298

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Solution

The third proportional to 66,370 and 143,298 is: 309,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,370 : 143,298 = 143,298 : x
  2. Step 2: Convert to fraction form
    66,370/143,298 = 143,298/x
  3. Step 3: Cross multiply
    66,370x = 143,298 × 143,298
  4. Step 4: Simplify right side
    66,370x = 20,534,316,804
  5. Step 5: Solve for x
    x = 20,534,316,804/66,370
  6. Step 6: Final answer
    x = 309,391.54

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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.