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Finding the Third Proportional to 410,846 and 631,221

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Solution

The third proportional to 410,846 and 631,221 is: 969,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,846 : 631,221 = 631,221 : x
  2. Step 2: Convert to fraction form
    410,846/631,221 = 631,221/x
  3. Step 3: Cross multiply
    410,846x = 631,221 × 631,221
  4. Step 4: Simplify right side
    410,846x = 398,439,950,841
  5. Step 5: Solve for x
    x = 398,439,950,841/410,846
  6. Step 6: Final answer
    x = 969,803.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.