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Finding the Third Proportional to 308,450.25 and 420,211.13

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Solution

The third proportional to 308,450.25 and 420,211.13 is: 572,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,450.25 : 420,211.13 = 420,211.13 : x
  2. Step 2: Convert to fraction form
    308,450.25/420,211.13 = 420,211.13/x
  3. Step 3: Cross multiply
    308,450.25x = 420,211.13 × 420,211.13
  4. Step 4: Simplify right side
    308,450.25x = 176,577,389,573.77
  5. Step 5: Solve for x
    x = 176,577,389,573.77/308,450.25
  6. Step 6: Final answer
    x = 572,466.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.