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Finding the Third Proportional to 64,290 and 143,484

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Solution

The third proportional to 64,290 and 143,484 is: 320,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,290 : 143,484 = 143,484 : x
  2. Step 2: Convert to fraction form
    64,290/143,484 = 143,484/x
  3. Step 3: Cross multiply
    64,290x = 143,484 × 143,484
  4. Step 4: Simplify right side
    64,290x = 20,587,658,256
  5. Step 5: Solve for x
    x = 20,587,658,256/64,290
  6. Step 6: Final answer
    x = 320,231.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.