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Finding the Third Proportional to 64,310 and 133,470

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Solution

The third proportional to 64,310 and 133,470 is: 277,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,310 : 133,470 = 133,470 : x
  2. Step 2: Convert to fraction form
    64,310/133,470 = 133,470/x
  3. Step 3: Cross multiply
    64,310x = 133,470 × 133,470
  4. Step 4: Simplify right side
    64,310x = 17,814,240,900
  5. Step 5: Solve for x
    x = 17,814,240,900/64,310
  6. Step 6: Final answer
    x = 277,005.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.