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Finding the Third Proportional to 138,948.50 and 282,808

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Solution

The third proportional to 138,948.50 and 282,808 is: 575,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,948.50 : 282,808 = 282,808 : x
  2. Step 2: Convert to fraction form
    138,948.50/282,808 = 282,808/x
  3. Step 3: Cross multiply
    138,948.50x = 282,808 × 282,808
  4. Step 4: Simplify right side
    138,948.50x = 79,980,364,864
  5. Step 5: Solve for x
    x = 79,980,364,864/138,948.50
  6. Step 6: Final answer
    x = 575,611.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.