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Finding the Third Proportional to 64,903.78 and 140,187.09

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Solution

The third proportional to 64,903.78 and 140,187.09 is: 302,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,903.78 : 140,187.09 = 140,187.09 : x
  2. Step 2: Convert to fraction form
    64,903.78/140,187.09 = 140,187.09/x
  3. Step 3: Cross multiply
    64,903.78x = 140,187.09 × 140,187.09
  4. Step 4: Simplify right side
    64,903.78x = 19,652,421,254.07
  5. Step 5: Solve for x
    x = 19,652,421,254.07/64,903.78
  6. Step 6: Final answer
    x = 302,793.16

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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.