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Finding the Third Proportional to 357,810 and 731,156

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Solution

The third proportional to 357,810 and 731,156 is: 1,494,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,810 : 731,156 = 731,156 : x
  2. Step 2: Convert to fraction form
    357,810/731,156 = 731,156/x
  3. Step 3: Cross multiply
    357,810x = 731,156 × 731,156
  4. Step 4: Simplify right side
    357,810x = 534,589,096,336
  5. Step 5: Solve for x
    x = 534,589,096,336/357,810
  6. Step 6: Final answer
    x = 1,494,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.