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Finding the Third Proportional to 161,813 and 354,730

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Solution

The third proportional to 161,813 and 354,730 is: 777,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,813 : 354,730 = 354,730 : x
  2. Step 2: Convert to fraction form
    161,813/354,730 = 354,730/x
  3. Step 3: Cross multiply
    161,813x = 354,730 × 354,730
  4. Step 4: Simplify right side
    161,813x = 125,833,372,900
  5. Step 5: Solve for x
    x = 125,833,372,900/161,813
  6. Step 6: Final answer
    x = 777,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.