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Finding the Third Proportional to 456,789 and 670,251.75

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Solution

The third proportional to 456,789 and 670,251.75 is: 983,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,789 : 670,251.75 = 670,251.75 : x
  2. Step 2: Convert to fraction form
    456,789/670,251.75 = 670,251.75/x
  3. Step 3: Cross multiply
    456,789x = 670,251.75 × 670,251.75
  4. Step 4: Simplify right side
    456,789x = 449,237,408,378.06
  5. Step 5: Solve for x
    x = 449,237,408,378.06/456,789
  6. Step 6: Final answer
    x = 983,468.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.