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Finding the Third Proportional to 658,830 and 1,438,125

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Solution

The third proportional to 658,830 and 1,438,125 is: 3,139,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,830 : 1,438,125 = 1,438,125 : x
  2. Step 2: Convert to fraction form
    658,830/1,438,125 = 1,438,125/x
  3. Step 3: Cross multiply
    658,830x = 1,438,125 × 1,438,125
  4. Step 4: Simplify right side
    658,830x = 2,068,203,515,625
  5. Step 5: Solve for x
    x = 2,068,203,515,625/658,830
  6. Step 6: Final answer
    x = 3,139,206.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.