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Finding the Third Proportional to 305,817 and 651,000

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Solution

The third proportional to 305,817 and 651,000 is: 1,385,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,817 : 651,000 = 651,000 : x
  2. Step 2: Convert to fraction form
    305,817/651,000 = 651,000/x
  3. Step 3: Cross multiply
    305,817x = 651,000 × 651,000
  4. Step 4: Simplify right side
    305,817x = 423,801,000,000
  5. Step 5: Solve for x
    x = 423,801,000,000/305,817
  6. Step 6: Final answer
    x = 1,385,799.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.