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Finding the Third Proportional to 405,296 and 608,160

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Solution

The third proportional to 405,296 and 608,160 is: 912,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,296 : 608,160 = 608,160 : x
  2. Step 2: Convert to fraction form
    405,296/608,160 = 608,160/x
  3. Step 3: Cross multiply
    405,296x = 608,160 × 608,160
  4. Step 4: Simplify right side
    405,296x = 369,858,585,600
  5. Step 5: Solve for x
    x = 369,858,585,600/405,296
  6. Step 6: Final answer
    x = 912,564.12

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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.