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Finding the Third Proportional to 410,386.50 and 613,939.50

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Solution

The third proportional to 410,386.50 and 613,939.50 is: 918,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,386.50 : 613,939.50 = 613,939.50 : x
  2. Step 2: Convert to fraction form
    410,386.50/613,939.50 = 613,939.50/x
  3. Step 3: Cross multiply
    410,386.50x = 613,939.50 × 613,939.50
  4. Step 4: Simplify right side
    410,386.50x = 376,921,709,660.25
  5. Step 5: Solve for x
    x = 376,921,709,660.25/410,386.50
  6. Step 6: Final answer
    x = 918,455.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.