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Finding the Third Proportional to 130,018.75 and 206,302.50

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Solution

The third proportional to 130,018.75 and 206,302.50 is: 327,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,018.75 : 206,302.50 = 206,302.50 : x
  2. Step 2: Convert to fraction form
    130,018.75/206,302.50 = 206,302.50/x
  3. Step 3: Cross multiply
    130,018.75x = 206,302.50 × 206,302.50
  4. Step 4: Simplify right side
    130,018.75x = 42,560,721,506.25
  5. Step 5: Solve for x
    x = 42,560,721,506.25/130,018.75
  6. Step 6: Final answer
    x = 327,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.