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Finding the Third Proportional to 76,110 and 160,428

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Solution

The third proportional to 76,110 and 160,428 is: 338,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,110 : 160,428 = 160,428 : x
  2. Step 2: Convert to fraction form
    76,110/160,428 = 160,428/x
  3. Step 3: Cross multiply
    76,110x = 160,428 × 160,428
  4. Step 4: Simplify right side
    76,110x = 25,737,143,184
  5. Step 5: Solve for x
    x = 25,737,143,184/76,110
  6. Step 6: Final answer
    x = 338,157.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.