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Finding the Third Proportional to 72,977 and 157,354

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Solution

The third proportional to 72,977 and 157,354 is: 339,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977 : 157,354 = 157,354 : x
  2. Step 2: Convert to fraction form
    72,977/157,354 = 157,354/x
  3. Step 3: Cross multiply
    72,977x = 157,354 × 157,354
  4. Step 4: Simplify right side
    72,977x = 24,760,281,316
  5. Step 5: Solve for x
    x = 24,760,281,316/72,977
  6. Step 6: Final answer
    x = 339,288.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.