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Finding the Third Proportional to 130,299 and 281,359.50

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Solution

The third proportional to 130,299 and 281,359.50 is: 607,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,299 : 281,359.50 = 281,359.50 : x
  2. Step 2: Convert to fraction form
    130,299/281,359.50 = 281,359.50/x
  3. Step 3: Cross multiply
    130,299x = 281,359.50 × 281,359.50
  4. Step 4: Simplify right side
    130,299x = 79,163,168,240.25
  5. Step 5: Solve for x
    x = 79,163,168,240.25/130,299
  6. Step 6: Final answer
    x = 607,550.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.