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Finding the Third Proportional to 72,352 and 157,768

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Solution

The third proportional to 72,352 and 157,768 is: 344,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,352 : 157,768 = 157,768 : x
  2. Step 2: Convert to fraction form
    72,352/157,768 = 157,768/x
  3. Step 3: Cross multiply
    72,352x = 157,768 × 157,768
  4. Step 4: Simplify right side
    72,352x = 24,890,741,824
  5. Step 5: Solve for x
    x = 24,890,741,824/72,352
  6. Step 6: Final answer
    x = 344,022.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.