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Finding the Third Proportional to 666,536 and 952,482

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Solution

The third proportional to 666,536 and 952,482 is: 1,361,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,536 : 952,482 = 952,482 : x
  2. Step 2: Convert to fraction form
    666,536/952,482 = 952,482/x
  3. Step 3: Cross multiply
    666,536x = 952,482 × 952,482
  4. Step 4: Simplify right side
    666,536x = 907,221,960,324
  5. Step 5: Solve for x
    x = 907,221,960,324/666,536
  6. Step 6: Final answer
    x = 1,361,099.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.