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Finding the Third Proportional to 54,328.50 and 86,447

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Solution

The third proportional to 54,328.50 and 86,447 is: 137,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328.50 : 86,447 = 86,447 : x
  2. Step 2: Convert to fraction form
    54,328.50/86,447 = 86,447/x
  3. Step 3: Cross multiply
    54,328.50x = 86,447 × 86,447
  4. Step 4: Simplify right side
    54,328.50x = 7,473,083,809
  5. Step 5: Solve for x
    x = 7,473,083,809/54,328.50
  6. Step 6: Final answer
    x = 137,553.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.