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Finding the Third Proportional to 420,257 and 645,933.50

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Solution

The third proportional to 420,257 and 645,933.50 is: 992,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,257 : 645,933.50 = 645,933.50 : x
  2. Step 2: Convert to fraction form
    420,257/645,933.50 = 645,933.50/x
  3. Step 3: Cross multiply
    420,257x = 645,933.50 × 645,933.50
  4. Step 4: Simplify right side
    420,257x = 417,230,086,422.25
  5. Step 5: Solve for x
    x = 417,230,086,422.25/420,257
  6. Step 6: Final answer
    x = 992,797.47

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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.