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Finding the Third Proportional to 77,712 and 160,960

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Solution

The third proportional to 77,712 and 160,960 is: 333,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 160,960 = 160,960 : x
  2. Step 2: Convert to fraction form
    77,712/160,960 = 160,960/x
  3. Step 3: Cross multiply
    77,712x = 160,960 × 160,960
  4. Step 4: Simplify right side
    77,712x = 25,908,121,600
  5. Step 5: Solve for x
    x = 25,908,121,600/77,712
  6. Step 6: Final answer
    x = 333,386.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.