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Finding the Third Proportional to 161,812.50 and 354,729

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Solution

The third proportional to 161,812.50 and 354,729 is: 777,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,812.50 : 354,729 = 354,729 : x
  2. Step 2: Convert to fraction form
    161,812.50/354,729 = 354,729/x
  3. Step 3: Cross multiply
    161,812.50x = 354,729 × 354,729
  4. Step 4: Simplify right side
    161,812.50x = 125,832,663,441
  5. Step 5: Solve for x
    x = 125,832,663,441/161,812.50
  6. Step 6: Final answer
    x = 777,644.89

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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.