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Finding the Third Proportional to 160,260 and 341,971.50

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Solution

The third proportional to 160,260 and 341,971.50 is: 729,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,260 : 341,971.50 = 341,971.50 : x
  2. Step 2: Convert to fraction form
    160,260/341,971.50 = 341,971.50/x
  3. Step 3: Cross multiply
    160,260x = 341,971.50 × 341,971.50
  4. Step 4: Simplify right side
    160,260x = 116,944,506,812.25
  5. Step 5: Solve for x
    x = 116,944,506,812.25/160,260
  6. Step 6: Final answer
    x = 729,717.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.