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Finding the Third Proportional to 415,803 and 643,576.50

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Solution

The third proportional to 415,803 and 643,576.50 is: 996,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803 : 643,576.50 = 643,576.50 : x
  2. Step 2: Convert to fraction form
    415,803/643,576.50 = 643,576.50/x
  3. Step 3: Cross multiply
    415,803x = 643,576.50 × 643,576.50
  4. Step 4: Simplify right side
    415,803x = 414,190,711,352.25
  5. Step 5: Solve for x
    x = 414,190,711,352.25/415,803
  6. Step 6: Final answer
    x = 996,122.47

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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.