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Finding the Third Proportional to 419,988.75 and 645,918.75

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Solution

The third proportional to 419,988.75 and 645,918.75 is: 993,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,988.75 : 645,918.75 = 645,918.75 : x
  2. Step 2: Convert to fraction form
    419,988.75/645,918.75 = 645,918.75/x
  3. Step 3: Cross multiply
    419,988.75x = 645,918.75 × 645,918.75
  4. Step 4: Simplify right side
    419,988.75x = 417,211,031,601.56
  5. Step 5: Solve for x
    x = 417,211,031,601.56/419,988.75
  6. Step 6: Final answer
    x = 993,386.21

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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.