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Finding the Third Proportional to 66,428 and 98,696

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Solution

The third proportional to 66,428 and 98,696 is: 146,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,428 : 98,696 = 98,696 : x
  2. Step 2: Convert to fraction form
    66,428/98,696 = 98,696/x
  3. Step 3: Cross multiply
    66,428x = 98,696 × 98,696
  4. Step 4: Simplify right side
    66,428x = 9,740,900,416
  5. Step 5: Solve for x
    x = 9,740,900,416/66,428
  6. Step 6: Final answer
    x = 146,638.47

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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.