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Finding the Third Proportional to 146,272.78 and 314,688.09

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Solution

The third proportional to 146,272.78 and 314,688.09 is: 677,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,272.78 : 314,688.09 = 314,688.09 : x
  2. Step 2: Convert to fraction form
    146,272.78/314,688.09 = 314,688.09/x
  3. Step 3: Cross multiply
    146,272.78x = 314,688.09 × 314,688.09
  4. Step 4: Simplify right side
    146,272.78x = 99,028,596,348.01
  5. Step 5: Solve for x
    x = 99,028,596,348.01/146,272.78
  6. Step 6: Final answer
    x = 677,013.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.