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Finding the Third Proportional to 687,960 and 1,459,176

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Solution

The third proportional to 687,960 and 1,459,176 is: 3,094,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,960 : 1,459,176 = 1,459,176 : x
  2. Step 2: Convert to fraction form
    687,960/1,459,176 = 1,459,176/x
  3. Step 3: Cross multiply
    687,960x = 1,459,176 × 1,459,176
  4. Step 4: Simplify right side
    687,960x = 2,129,194,598,976
  5. Step 5: Solve for x
    x = 2,129,194,598,976/687,960
  6. Step 6: Final answer
    x = 3,094,939.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.