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Finding the Third Proportional to 136,257.75 and 299,398.50

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Solution

The third proportional to 136,257.75 and 299,398.50 is: 657,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,257.75 : 299,398.50 = 299,398.50 : x
  2. Step 2: Convert to fraction form
    136,257.75/299,398.50 = 299,398.50/x
  3. Step 3: Cross multiply
    136,257.75x = 299,398.50 × 299,398.50
  4. Step 4: Simplify right side
    136,257.75x = 89,639,461,802.25
  5. Step 5: Solve for x
    x = 89,639,461,802.25/136,257.75
  6. Step 6: Final answer
    x = 657,866.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.