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Finding the Third Proportional to 316,530 and 747,207

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Solution

The third proportional to 316,530 and 747,207 is: 1,763,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,530 : 747,207 = 747,207 : x
  2. Step 2: Convert to fraction form
    316,530/747,207 = 747,207/x
  3. Step 3: Cross multiply
    316,530x = 747,207 × 747,207
  4. Step 4: Simplify right side
    316,530x = 558,318,300,849
  5. Step 5: Solve for x
    x = 558,318,300,849/316,530
  6. Step 6: Final answer
    x = 1,763,871.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.