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Finding the Third Proportional to 313,388 and 477,430

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Solution

The third proportional to 313,388 and 477,430 is: 727,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,388 : 477,430 = 477,430 : x
  2. Step 2: Convert to fraction form
    313,388/477,430 = 477,430/x
  3. Step 3: Cross multiply
    313,388x = 477,430 × 477,430
  4. Step 4: Simplify right side
    313,388x = 227,939,404,900
  5. Step 5: Solve for x
    x = 227,939,404,900/313,388
  6. Step 6: Final answer
    x = 727,339.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.