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Finding the Third Proportional to 357,813 and 758,286

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Solution

The third proportional to 357,813 and 758,286 is: 1,606,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,813 : 758,286 = 758,286 : x
  2. Step 2: Convert to fraction form
    357,813/758,286 = 758,286/x
  3. Step 3: Cross multiply
    357,813x = 758,286 × 758,286
  4. Step 4: Simplify right side
    357,813x = 574,997,657,796
  5. Step 5: Solve for x
    x = 574,997,657,796/357,813
  6. Step 6: Final answer
    x = 1,606,978.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.