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Finding the Third Proportional to 661,260 and 982,170

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Solution

The third proportional to 661,260 and 982,170 is: 1,458,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,260 : 982,170 = 982,170 : x
  2. Step 2: Convert to fraction form
    661,260/982,170 = 982,170/x
  3. Step 3: Cross multiply
    661,260x = 982,170 × 982,170
  4. Step 4: Simplify right side
    661,260x = 964,657,908,900
  5. Step 5: Solve for x
    x = 964,657,908,900/661,260
  6. Step 6: Final answer
    x = 1,458,817.88

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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.