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Finding the Third Proportional to 661,361 and 989,470

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Solution

The third proportional to 661,361 and 989,470 is: 1,480,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,361 : 989,470 = 989,470 : x
  2. Step 2: Convert to fraction form
    661,361/989,470 = 989,470/x
  3. Step 3: Cross multiply
    661,361x = 989,470 × 989,470
  4. Step 4: Simplify right side
    661,361x = 979,050,880,900
  5. Step 5: Solve for x
    x = 979,050,880,900/661,361
  6. Step 6: Final answer
    x = 1,480,357.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.