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Finding the Third Proportional to 313,069 and 472,508

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Solution

The third proportional to 313,069 and 472,508 is: 713,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,069 : 472,508 = 472,508 : x
  2. Step 2: Convert to fraction form
    313,069/472,508 = 472,508/x
  3. Step 3: Cross multiply
    313,069x = 472,508 × 472,508
  4. Step 4: Simplify right side
    313,069x = 223,263,810,064
  5. Step 5: Solve for x
    x = 223,263,810,064/313,069
  6. Step 6: Final answer
    x = 713,145.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.