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Finding the Third Proportional to 30,159 and 64,851.75

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Solution

The third proportional to 30,159 and 64,851.75 is: 139,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 64,851.75 = 64,851.75 : x
  2. Step 2: Convert to fraction form
    30,159/64,851.75 = 64,851.75/x
  3. Step 3: Cross multiply
    30,159x = 64,851.75 × 64,851.75
  4. Step 4: Simplify right side
    30,159x = 4,205,749,478.06
  5. Step 5: Solve for x
    x = 4,205,749,478.06/30,159
  6. Step 6: Final answer
    x = 139,452.55

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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.