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Finding the Third Proportional to 307,597.50 and 658,935

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Solution

The third proportional to 307,597.50 and 658,935 is: 1,411,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,597.50 : 658,935 = 658,935 : x
  2. Step 2: Convert to fraction form
    307,597.50/658,935 = 658,935/x
  3. Step 3: Cross multiply
    307,597.50x = 658,935 × 658,935
  4. Step 4: Simplify right side
    307,597.50x = 434,195,334,225
  5. Step 5: Solve for x
    x = 434,195,334,225/307,597.50
  6. Step 6: Final answer
    x = 1,411,569.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.