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Finding the Third Proportional to 64,548 and 90,738

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Solution

The third proportional to 64,548 and 90,738 is: 127,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,548 : 90,738 = 90,738 : x
  2. Step 2: Convert to fraction form
    64,548/90,738 = 90,738/x
  3. Step 3: Cross multiply
    64,548x = 90,738 × 90,738
  4. Step 4: Simplify right side
    64,548x = 8,233,384,644
  5. Step 5: Solve for x
    x = 8,233,384,644/64,548
  6. Step 6: Final answer
    x = 127,554.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.