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Finding the Third Proportional to 66,818 and 98,235

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Solution

The third proportional to 66,818 and 98,235 is: 144,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,818 : 98,235 = 98,235 : x
  2. Step 2: Convert to fraction form
    66,818/98,235 = 98,235/x
  3. Step 3: Cross multiply
    66,818x = 98,235 × 98,235
  4. Step 4: Simplify right side
    66,818x = 9,650,115,225
  5. Step 5: Solve for x
    x = 9,650,115,225/66,818
  6. Step 6: Final answer
    x = 144,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.