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Finding the Third Proportional to 356,347 and 768,394.50

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Solution

The third proportional to 356,347 and 768,394.50 is: 1,656,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,347 : 768,394.50 = 768,394.50 : x
  2. Step 2: Convert to fraction form
    356,347/768,394.50 = 768,394.50/x
  3. Step 3: Cross multiply
    356,347x = 768,394.50 × 768,394.50
  4. Step 4: Simplify right side
    356,347x = 590,430,107,630.25
  5. Step 5: Solve for x
    x = 590,430,107,630.25/356,347
  6. Step 6: Final answer
    x = 1,656,896.53

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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.