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Finding the Third Proportional to 287,683.88 and 440,285.63

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Solution

The third proportional to 287,683.88 and 440,285.63 is: 673,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,683.88 : 440,285.63 = 440,285.63 : x
  2. Step 2: Convert to fraction form
    287,683.88/440,285.63 = 440,285.63/x
  3. Step 3: Cross multiply
    287,683.88x = 440,285.63 × 440,285.63
  4. Step 4: Simplify right side
    287,683.88x = 193,851,431,581.64
  5. Step 5: Solve for x
    x = 193,851,431,581.64/287,683.88
  6. Step 6: Final answer
    x = 673,834.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.