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Finding the Third Proportional to 160,814.50 and 342,428.50

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Solution

The third proportional to 160,814.50 and 342,428.50 is: 729,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,814.50 : 342,428.50 = 342,428.50 : x
  2. Step 2: Convert to fraction form
    160,814.50/342,428.50 = 342,428.50/x
  3. Step 3: Cross multiply
    160,814.50x = 342,428.50 × 342,428.50
  4. Step 4: Simplify right side
    160,814.50x = 117,257,277,612.25
  5. Step 5: Solve for x
    x = 117,257,277,612.25/160,814.50
  6. Step 6: Final answer
    x = 729,146.18

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Why These Related Problems?

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