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Finding the Third Proportional to 288,781.50 and 448,880.25

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Solution

The third proportional to 288,781.50 and 448,880.25 is: 697,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,781.50 : 448,880.25 = 448,880.25 : x
  2. Step 2: Convert to fraction form
    288,781.50/448,880.25 = 448,880.25/x
  3. Step 3: Cross multiply
    288,781.50x = 448,880.25 × 448,880.25
  4. Step 4: Simplify right side
    288,781.50x = 201,493,478,840.06
  5. Step 5: Solve for x
    x = 201,493,478,840.06/288,781.50
  6. Step 6: Final answer
    x = 697,736.80

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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.