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Finding the Third Proportional to 405,445.50 and 608,168.25

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Solution

The third proportional to 405,445.50 and 608,168.25 is: 912,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,445.50 : 608,168.25 = 608,168.25 : x
  2. Step 2: Convert to fraction form
    405,445.50/608,168.25 = 608,168.25/x
  3. Step 3: Cross multiply
    405,445.50x = 608,168.25 × 608,168.25
  4. Step 4: Simplify right side
    405,445.50x = 369,868,620,308.06
  5. Step 5: Solve for x
    x = 369,868,620,308.06/405,445.50
  6. Step 6: Final answer
    x = 912,252.38

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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.