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Finding the Third Proportional to 66,430 and 98,699

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Solution

The third proportional to 66,430 and 98,699 is: 146,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430 : 98,699 = 98,699 : x
  2. Step 2: Convert to fraction form
    66,430/98,699 = 98,699/x
  3. Step 3: Cross multiply
    66,430x = 98,699 × 98,699
  4. Step 4: Simplify right side
    66,430x = 9,741,492,601
  5. Step 5: Solve for x
    x = 9,741,492,601/66,430
  6. Step 6: Final answer
    x = 146,642.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.