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Finding the Third Proportional to 408,265.50 and 633,710.25

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Solution

The third proportional to 408,265.50 and 633,710.25 is: 983,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,265.50 : 633,710.25 = 633,710.25 : x
  2. Step 2: Convert to fraction form
    408,265.50/633,710.25 = 633,710.25/x
  3. Step 3: Cross multiply
    408,265.50x = 633,710.25 × 633,710.25
  4. Step 4: Simplify right side
    408,265.50x = 401,588,680,955.06
  5. Step 5: Solve for x
    x = 401,588,680,955.06/408,265.50
  6. Step 6: Final answer
    x = 983,645.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.