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Finding the Third Proportional to 64,816 and 137,330

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Solution

The third proportional to 64,816 and 137,330 is: 290,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,816 : 137,330 = 137,330 : x
  2. Step 2: Convert to fraction form
    64,816/137,330 = 137,330/x
  3. Step 3: Cross multiply
    64,816x = 137,330 × 137,330
  4. Step 4: Simplify right side
    64,816x = 18,859,528,900
  5. Step 5: Solve for x
    x = 18,859,528,900/64,816
  6. Step 6: Final answer
    x = 290,970.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.