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Finding the Third Proportional to 207,378 and 435,642

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Solution

The third proportional to 207,378 and 435,642 is: 915,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,378 : 435,642 = 435,642 : x
  2. Step 2: Convert to fraction form
    207,378/435,642 = 435,642/x
  3. Step 3: Cross multiply
    207,378x = 435,642 × 435,642
  4. Step 4: Simplify right side
    207,378x = 189,783,952,164
  5. Step 5: Solve for x
    x = 189,783,952,164/207,378
  6. Step 6: Final answer
    x = 915,159.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.