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Finding the Third Proportional to 316,070 and 447,225

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Solution

The third proportional to 316,070 and 447,225 is: 632,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,070 : 447,225 = 447,225 : x
  2. Step 2: Convert to fraction form
    316,070/447,225 = 447,225/x
  3. Step 3: Cross multiply
    316,070x = 447,225 × 447,225
  4. Step 4: Simplify right side
    316,070x = 200,010,200,625
  5. Step 5: Solve for x
    x = 200,010,200,625/316,070
  6. Step 6: Final answer
    x = 632,803.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.