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Finding the Third Proportional to 678,846 and 1,465,366.50

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Solution

The third proportional to 678,846 and 1,465,366.50 is: 3,163,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,846 : 1,465,366.50 = 1,465,366.50 : x
  2. Step 2: Convert to fraction form
    678,846/1,465,366.50 = 1,465,366.50/x
  3. Step 3: Cross multiply
    678,846x = 1,465,366.50 × 1,465,366.50
  4. Step 4: Simplify right side
    678,846x = 2,147,298,979,322.25
  5. Step 5: Solve for x
    x = 2,147,298,979,322.25/678,846
  6. Step 6: Final answer
    x = 3,163,160.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.