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Finding the Third Proportional to 419,987.53 and 645,916.78

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Solution

The third proportional to 419,987.53 and 645,916.78 is: 993,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,987.53 : 645,916.78 = 645,916.78 : x
  2. Step 2: Convert to fraction form
    419,987.53/645,916.78 = 645,916.78/x
  3. Step 3: Cross multiply
    419,987.53x = 645,916.78 × 645,916.78
  4. Step 4: Simplify right side
    419,987.53x = 417,208,488,300.36
  5. Step 5: Solve for x
    x = 417,208,488,300.36/419,987.53
  6. Step 6: Final answer
    x = 993,383.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.