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Finding the Third Proportional to 313,804 and 478,914

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Solution

The third proportional to 313,804 and 478,914 is: 730,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,804 : 478,914 = 478,914 : x
  2. Step 2: Convert to fraction form
    313,804/478,914 = 478,914/x
  3. Step 3: Cross multiply
    313,804x = 478,914 × 478,914
  4. Step 4: Simplify right side
    313,804x = 229,358,619,396
  5. Step 5: Solve for x
    x = 229,358,619,396/313,804
  6. Step 6: Final answer
    x = 730,897.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.