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Finding the Third Proportional to 351,390 and 766,386

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Solution

The third proportional to 351,390 and 766,386 is: 1,671,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,390 : 766,386 = 766,386 : x
  2. Step 2: Convert to fraction form
    351,390/766,386 = 766,386/x
  3. Step 3: Cross multiply
    351,390x = 766,386 × 766,386
  4. Step 4: Simplify right side
    351,390x = 587,347,500,996
  5. Step 5: Solve for x
    x = 587,347,500,996/351,390
  6. Step 6: Final answer
    x = 1,671,497.48

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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.