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Finding the Third Proportional to 55,643 and 70,503

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Solution

The third proportional to 55,643 and 70,503 is: 89,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643 : 70,503 = 70,503 : x
  2. Step 2: Convert to fraction form
    55,643/70,503 = 70,503/x
  3. Step 3: Cross multiply
    55,643x = 70,503 × 70,503
  4. Step 4: Simplify right side
    55,643x = 4,970,673,009
  5. Step 5: Solve for x
    x = 4,970,673,009/55,643
  6. Step 6: Final answer
    x = 89,331.51

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.