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Finding the Third Proportional to 313,407 and 470,807

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Solution

The third proportional to 313,407 and 470,807 is: 707,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,407 : 470,807 = 470,807 : x
  2. Step 2: Convert to fraction form
    313,407/470,807 = 470,807/x
  3. Step 3: Cross multiply
    313,407x = 470,807 × 470,807
  4. Step 4: Simplify right side
    313,407x = 221,659,231,249
  5. Step 5: Solve for x
    x = 221,659,231,249/313,407
  6. Step 6: Final answer
    x = 707,256.80

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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.