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Finding the Third Proportional to 75,776 and 159,409

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Solution

The third proportional to 75,776 and 159,409 is: 335,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,776 : 159,409 = 159,409 : x
  2. Step 2: Convert to fraction form
    75,776/159,409 = 159,409/x
  3. Step 3: Cross multiply
    75,776x = 159,409 × 159,409
  4. Step 4: Simplify right side
    75,776x = 25,411,229,281
  5. Step 5: Solve for x
    x = 25,411,229,281/75,776
  6. Step 6: Final answer
    x = 335,346.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.