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Finding the Third Proportional to 416,812.50 and 645,810.75

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Solution

The third proportional to 416,812.50 and 645,810.75 is: 1,000,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,812.50 : 645,810.75 = 645,810.75 : x
  2. Step 2: Convert to fraction form
    416,812.50/645,810.75 = 645,810.75/x
  3. Step 3: Cross multiply
    416,812.50x = 645,810.75 × 645,810.75
  4. Step 4: Simplify right side
    416,812.50x = 417,071,524,815.56
  5. Step 5: Solve for x
    x = 417,071,524,815.56/416,812.50
  6. Step 6: Final answer
    x = 1,000,621.44

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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.