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Finding the Third Proportional to 315,126 and 472,918

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Solution

The third proportional to 315,126 and 472,918 is: 709,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,126 : 472,918 = 472,918 : x
  2. Step 2: Convert to fraction form
    315,126/472,918 = 472,918/x
  3. Step 3: Cross multiply
    315,126x = 472,918 × 472,918
  4. Step 4: Simplify right side
    315,126x = 223,651,434,724
  5. Step 5: Solve for x
    x = 223,651,434,724/315,126
  6. Step 6: Final answer
    x = 709,720.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.