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Finding the Third Proportional to 576,145.50 and 890,205

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Solution

The third proportional to 576,145.50 and 890,205 is: 1,375,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,145.50 : 890,205 = 890,205 : x
  2. Step 2: Convert to fraction form
    576,145.50/890,205 = 890,205/x
  3. Step 3: Cross multiply
    576,145.50x = 890,205 × 890,205
  4. Step 4: Simplify right side
    576,145.50x = 792,464,942,025
  5. Step 5: Solve for x
    x = 792,464,942,025/576,145.50
  6. Step 6: Final answer
    x = 1,375,459.74

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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.