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Finding the Third Proportional to 76,320 and 154,709

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Solution

The third proportional to 76,320 and 154,709 is: 313,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320 : 154,709 = 154,709 : x
  2. Step 2: Convert to fraction form
    76,320/154,709 = 154,709/x
  3. Step 3: Cross multiply
    76,320x = 154,709 × 154,709
  4. Step 4: Simplify right side
    76,320x = 23,934,874,681
  5. Step 5: Solve for x
    x = 23,934,874,681/76,320
  6. Step 6: Final answer
    x = 313,612.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.